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Finding the Fourth Proportional to 52,287.40, 78,463.50 and 21,122.92

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Solution

The fourth proportional to 52,287.40, 78,463.50 and 21,122.92 is: 31,697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,287.40 : 78,463.50 = 21,122.92 : x
  2. Step 2: Convert to fraction form
    52,287.40/78,463.50 = 21,122.92/x
  3. Step 3: Cross multiply
    52,287.40x = 78,463.50 × 21,122.92
  4. Step 4: Simplify right side
    52,287.40x = 1,657,378,233.42
  5. Step 5: Solve for x
    x = 1,657,378,233.42/52,287.40
  6. Step 6: Final answer
    x = 31,697.47

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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.