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Finding the Fourth Proportional to 96,077.88, 144,054.81 and 39,956.76

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Solution

The fourth proportional to 96,077.88, 144,054.81 and 39,956.76 is: 59,909.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,077.88 : 144,054.81 = 39,956.76 : x
  2. Step 2: Convert to fraction form
    96,077.88/144,054.81 = 39,956.76/x
  3. Step 3: Cross multiply
    96,077.88x = 144,054.81 × 39,956.76
  4. Step 4: Simplify right side
    96,077.88x = 5,755,963,470.02
  5. Step 5: Solve for x
    x = 5,755,963,470.02/96,077.88
  6. Step 6: Final answer
    x = 59,909.35

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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.