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Finding the Fourth Proportional to 57,527, 86,165.86 and 27,882.82

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Solution

The fourth proportional to 57,527, 86,165.86 and 27,882.82 is: 41,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,527 : 86,165.86 = 27,882.82 : x
  2. Step 2: Convert to fraction form
    57,527/86,165.86 = 27,882.82/x
  3. Step 3: Cross multiply
    57,527x = 86,165.86 × 27,882.82
  4. Step 4: Simplify right side
    57,527x = 2,402,547,164.53
  5. Step 5: Solve for x
    x = 2,402,547,164.53/57,527
  6. Step 6: Final answer
    x = 41,763.82

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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.