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Finding the Fourth Proportional to 52,538.70, 78,739.65 and 21,337.50

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Solution

The fourth proportional to 52,538.70, 78,739.65 and 21,337.50 is: 31,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,538.70 : 78,739.65 = 21,337.50 : x
  2. Step 2: Convert to fraction form
    52,538.70/78,739.65 = 21,337.50/x
  3. Step 3: Cross multiply
    52,538.70x = 78,739.65 × 21,337.50
  4. Step 4: Simplify right side
    52,538.70x = 1,680,107,281.88
  5. Step 5: Solve for x
    x = 1,680,107,281.88/52,538.70
  6. Step 6: Final answer
    x = 31,978.47

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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.