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Finding the Fourth Proportional to 96,597.76, 144,936.54 and 42,534.70

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Solution

The fourth proportional to 96,597.76, 144,936.54 and 42,534.70 is: 63,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,597.76 : 144,936.54 = 42,534.70 : x
  2. Step 2: Convert to fraction form
    96,597.76/144,936.54 = 42,534.70/x
  3. Step 3: Cross multiply
    96,597.76x = 144,936.54 × 42,534.70
  4. Step 4: Simplify right side
    96,597.76x = 6,164,832,247.94
  5. Step 5: Solve for x
    x = 6,164,832,247.94/96,597.76
  6. Step 6: Final answer
    x = 63,819.62

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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.