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Finding the Fourth Proportional to 96,471.78, 144,707.73 and 40,281.27

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Solution

The fourth proportional to 96,471.78, 144,707.73 and 40,281.27 is: 60,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,471.78 : 144,707.73 = 40,281.27 : x
  2. Step 2: Convert to fraction form
    96,471.78/144,707.73 = 40,281.27/x
  3. Step 3: Cross multiply
    96,471.78x = 144,707.73 × 40,281.27
  4. Step 4: Simplify right side
    96,471.78x = 5,829,011,143.22
  5. Step 5: Solve for x
    x = 5,829,011,143.22/96,471.78
  6. Step 6: Final answer
    x = 60,421.93

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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.