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Finding the Fourth Proportional to 96,501.50, 133,211.14 and 62,539.14

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Solution

The fourth proportional to 96,501.50, 133,211.14 and 62,539.14 is: 86,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,501.50 : 133,211.14 = 62,539.14 : x
  2. Step 2: Convert to fraction form
    96,501.50/133,211.14 = 62,539.14/x
  3. Step 3: Cross multiply
    96,501.50x = 133,211.14 × 62,539.14
  4. Step 4: Simplify right side
    96,501.50x = 8,330,909,977.67
  5. Step 5: Solve for x
    x = 8,330,909,977.67/96,501.50
  6. Step 6: Final answer
    x = 86,329.34

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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.