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Finding the Fourth Proportional to 52,306.50, 78,494.31 and 24,606.66

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Solution

The fourth proportional to 52,306.50, 78,494.31 and 24,606.66 is: 36,926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,306.50 : 78,494.31 = 24,606.66 : x
  2. Step 2: Convert to fraction form
    52,306.50/78,494.31 = 24,606.66/x
  3. Step 3: Cross multiply
    52,306.50x = 78,494.31 × 24,606.66
  4. Step 4: Simplify right side
    52,306.50x = 1,931,482,798.10
  5. Step 5: Solve for x
    x = 1,931,482,798.10/52,306.50
  6. Step 6: Final answer
    x = 36,926.25

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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.