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Finding the Fourth Proportional to 27,752.60, 41,507.40 and 24,812.30

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Solution

The fourth proportional to 27,752.60, 41,507.40 and 24,812.30 is: 37,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,752.60 : 41,507.40 = 24,812.30 : x
  2. Step 2: Convert to fraction form
    27,752.60/41,507.40 = 24,812.30/x
  3. Step 3: Cross multiply
    27,752.60x = 41,507.40 × 24,812.30
  4. Step 4: Simplify right side
    27,752.60x = 1,029,894,061.02
  5. Step 5: Solve for x
    x = 1,029,894,061.02/27,752.60
  6. Step 6: Final answer
    x = 37,109.82

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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.