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Finding the Fourth Proportional to 34,772,013.84, 47,982,978.74 and 19,300,880.60

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Solution

The fourth proportional to 34,772,013.84, 47,982,978.74 and 19,300,880.60 is: 26,633,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,772,013.84 : 47,982,978.74 = 19,300,880.60 : x
  2. Step 2: Convert to fraction form
    34,772,013.84/47,982,978.74 = 19,300,880.60/x
  3. Step 3: Cross multiply
    34,772,013.84x = 47,982,978.74 × 19,300,880.60
  4. Step 4: Simplify right side
    34,772,013.84x = 926,113,743,253,163.50
  5. Step 5: Solve for x
    x = 926,113,743,253,163.50/34,772,013.84
  6. Step 6: Final answer
    x = 26,633,882.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.