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Finding the Fourth Proportional to 30,044.50, 45,069.38 and 7,857.78

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Solution

The fourth proportional to 30,044.50, 45,069.38 and 7,857.78 is: 11,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,044.50 : 45,069.38 = 7,857.78 : x
  2. Step 2: Convert to fraction form
    30,044.50/45,069.38 = 7,857.78/x
  3. Step 3: Cross multiply
    30,044.50x = 45,069.38 × 7,857.78
  4. Step 4: Simplify right side
    30,044.50x = 354,145,272.78
  5. Step 5: Solve for x
    x = 354,145,272.78/30,044.50
  6. Step 6: Final answer
    x = 11,787.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.