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Finding the Fourth Proportional to 42,817.68, 59,068.68 and 27,715.20

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Solution

The fourth proportional to 42,817.68, 59,068.68 and 27,715.20 is: 38,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,817.68 : 59,068.68 = 27,715.20 : x
  2. Step 2: Convert to fraction form
    42,817.68/59,068.68 = 27,715.20/x
  3. Step 3: Cross multiply
    42,817.68x = 59,068.68 × 27,715.20
  4. Step 4: Simplify right side
    42,817.68x = 1,637,100,279.94
  5. Step 5: Solve for x
    x = 1,637,100,279.94/42,817.68
  6. Step 6: Final answer
    x = 38,234.21

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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.