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Finding the Fourth Proportional to 72,483.46, 100,032.17 and 40,654.41

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Solution

The fourth proportional to 72,483.46, 100,032.17 and 40,654.41 is: 56,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,483.46 : 100,032.17 = 40,654.41 : x
  2. Step 2: Convert to fraction form
    72,483.46/100,032.17 = 40,654.41/x
  3. Step 3: Cross multiply
    72,483.46x = 100,032.17 × 40,654.41
  4. Step 4: Simplify right side
    72,483.46x = 4,066,748,273.98
  5. Step 5: Solve for x
    x = 4,066,748,273.98/72,483.46
  6. Step 6: Final answer
    x = 56,105.88

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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.