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Finding the Fourth Proportional to 96,493.80, 133,159.88 and 54,052.20

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Solution

The fourth proportional to 96,493.80, 133,159.88 and 54,052.20 is: 74,591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,493.80 : 133,159.88 = 54,052.20 : x
  2. Step 2: Convert to fraction form
    96,493.80/133,159.88 = 54,052.20/x
  3. Step 3: Cross multiply
    96,493.80x = 133,159.88 × 54,052.20
  4. Step 4: Simplify right side
    96,493.80x = 7,197,584,465.74
  5. Step 5: Solve for x
    x = 7,197,584,465.74/96,493.80
  6. Step 6: Final answer
    x = 74,591.16

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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.