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Finding the Fourth Proportional to 72,024.68, 108,048.54 and 30,472.04

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Solution

The fourth proportional to 72,024.68, 108,048.54 and 30,472.04 is: 45,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,024.68 : 108,048.54 = 30,472.04 : x
  2. Step 2: Convert to fraction form
    72,024.68/108,048.54 = 30,472.04/x
  3. Step 3: Cross multiply
    72,024.68x = 108,048.54 × 30,472.04
  4. Step 4: Simplify right side
    72,024.68x = 3,292,459,432.82
  5. Step 5: Solve for x
    x = 3,292,459,432.82/72,024.68
  6. Step 6: Final answer
    x = 45,712.93

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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.