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Finding the Fourth Proportional to 98,472.69, 135,892.86 and 56,031.21

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Solution

The fourth proportional to 98,472.69, 135,892.86 and 56,031.21 is: 77,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,472.69 : 135,892.86 = 56,031.21 : x
  2. Step 2: Convert to fraction form
    98,472.69/135,892.86 = 56,031.21/x
  3. Step 3: Cross multiply
    98,472.69x = 135,892.86 × 56,031.21
  4. Step 4: Simplify right side
    98,472.69x = 7,614,241,376.16
  5. Step 5: Solve for x
    x = 7,614,241,376.16/98,472.69
  6. Step 6: Final answer
    x = 77,323.38

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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.