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Finding the Fourth Proportional to 102,586.80, 141,569.38 and 57,264.38

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Solution

The fourth proportional to 102,586.80, 141,569.38 and 57,264.38 is: 79,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,586.80 : 141,569.38 = 57,264.38 : x
  2. Step 2: Convert to fraction form
    102,586.80/141,569.38 = 57,264.38/x
  3. Step 3: Cross multiply
    102,586.80x = 141,569.38 × 57,264.38
  4. Step 4: Simplify right side
    102,586.80x = 8,106,882,772.68
  5. Step 5: Solve for x
    x = 8,106,882,772.68/102,586.80
  6. Step 6: Final answer
    x = 79,024.62

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Why These Related Problems?

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