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Finding the Fourth Proportional to 52,525, 78,743.31 and 24,430.78

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Solution

The fourth proportional to 52,525, 78,743.31 and 24,430.78 is: 36,625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,525 : 78,743.31 = 24,430.78 : x
  2. Step 2: Convert to fraction form
    52,525/78,743.31 = 24,430.78/x
  3. Step 3: Cross multiply
    52,525x = 78,743.31 × 24,430.78
  4. Step 4: Simplify right side
    52,525x = 1,923,760,483.08
  5. Step 5: Solve for x
    x = 1,923,760,483.08/52,525
  6. Step 6: Final answer
    x = 36,625.62

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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.