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Finding the Fourth Proportional to 52,287.50, 78,465.82 and 24,587.66

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Solution

The fourth proportional to 52,287.50, 78,465.82 and 24,587.66 is: 36,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,287.50 : 78,465.82 = 24,587.66 : x
  2. Step 2: Convert to fraction form
    52,287.50/78,465.82 = 24,587.66/x
  3. Step 3: Cross multiply
    52,287.50x = 78,465.82 × 24,587.66
  4. Step 4: Simplify right side
    52,287.50x = 1,929,290,903.78
  5. Step 5: Solve for x
    x = 1,929,290,903.78/52,287.50
  6. Step 6: Final answer
    x = 36,897.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.