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Finding the Fourth Proportional to 52,385, 78,472.38 and 26,009.96

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Solution

The fourth proportional to 52,385, 78,472.38 and 26,009.96 is: 38,962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,385 : 78,472.38 = 26,009.96 : x
  2. Step 2: Convert to fraction form
    52,385/78,472.38 = 26,009.96/x
  3. Step 3: Cross multiply
    52,385x = 78,472.38 × 26,009.96
  4. Step 4: Simplify right side
    52,385x = 2,041,063,464.90
  5. Step 5: Solve for x
    x = 2,041,063,464.90/52,385
  6. Step 6: Final answer
    x = 38,962.75

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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.