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Finding the Fourth Proportional to 71,343.30, 98,352.02 and 51,193.74

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Solution

The fourth proportional to 71,343.30, 98,352.02 and 51,193.74 is: 70,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,343.30 : 98,352.02 = 51,193.74 : x
  2. Step 2: Convert to fraction form
    71,343.30/98,352.02 = 51,193.74/x
  3. Step 3: Cross multiply
    71,343.30x = 98,352.02 × 51,193.74
  4. Step 4: Simplify right side
    71,343.30x = 5,035,007,484.39
  5. Step 5: Solve for x
    x = 5,035,007,484.39/71,343.30
  6. Step 6: Final answer
    x = 70,574.36

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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.