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Finding the Fourth Proportional to 30,909.60, 42,656.02 and 17,480.21

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Solution

The fourth proportional to 30,909.60, 42,656.02 and 17,480.21 is: 24,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909.60 : 42,656.02 = 17,480.21 : x
  2. Step 2: Convert to fraction form
    30,909.60/42,656.02 = 17,480.21/x
  3. Step 3: Cross multiply
    30,909.60x = 42,656.02 × 17,480.21
  4. Step 4: Simplify right side
    30,909.60x = 745,635,930.38
  5. Step 5: Solve for x
    x = 745,635,930.38/30,909.60
  6. Step 6: Final answer
    x = 24,123.12

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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.