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Finding the Fourth Proportional to 91,098.20, 136,646.70 and 42,406.52

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Solution

The fourth proportional to 91,098.20, 136,646.70 and 42,406.52 is: 63,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,098.20 : 136,646.70 = 42,406.52 : x
  2. Step 2: Convert to fraction form
    91,098.20/136,646.70 = 42,406.52/x
  3. Step 3: Cross multiply
    91,098.20x = 136,646.70 × 42,406.52
  4. Step 4: Simplify right side
    91,098.20x = 5,794,711,016.48
  5. Step 5: Solve for x
    x = 5,794,711,016.48/91,098.20
  6. Step 6: Final answer
    x = 63,609.50

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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.