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Finding the Fourth Proportional to 41,526.84, 57,298.28 and 26,414

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Solution

The fourth proportional to 41,526.84, 57,298.28 and 26,414 is: 36,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,526.84 : 57,298.28 = 26,414 : x
  2. Step 2: Convert to fraction form
    41,526.84/57,298.28 = 26,414/x
  3. Step 3: Cross multiply
    41,526.84x = 57,298.28 × 26,414
  4. Step 4: Simplify right side
    41,526.84x = 1,513,476,767.92
  5. Step 5: Solve for x
    x = 1,513,476,767.92/41,526.84
  6. Step 6: Final answer
    x = 36,445.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.