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Finding the Fourth Proportional to 77,881.92, 116,859.72 and 40,422.08

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Solution

The fourth proportional to 77,881.92, 116,859.72 and 40,422.08 is: 60,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,881.92 : 116,859.72 = 40,422.08 : x
  2. Step 2: Convert to fraction form
    77,881.92/116,859.72 = 40,422.08/x
  3. Step 3: Cross multiply
    77,881.92x = 116,859.72 × 40,422.08
  4. Step 4: Simplify right side
    77,881.92x = 4,723,712,950.62
  5. Step 5: Solve for x
    x = 4,723,712,950.62/77,881.92
  6. Step 6: Final answer
    x = 60,652.24

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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.