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Finding the Fourth Proportional to 72,708.30, 102,024.90 and 72,708.30

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Solution

The fourth proportional to 72,708.30, 102,024.90 and 72,708.30 is: 102,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,708.30 : 102,024.90 = 72,708.30 : x
  2. Step 2: Convert to fraction form
    72,708.30/102,024.90 = 72,708.30/x
  3. Step 3: Cross multiply
    72,708.30x = 102,024.90 × 72,708.30
  4. Step 4: Simplify right side
    72,708.30x = 7,418,057,036.67
  5. Step 5: Solve for x
    x = 7,418,057,036.67/72,708.30
  6. Step 6: Final answer
    x = 102,024.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.