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Finding the Fourth Proportional to 42,680.28, 58,900.05 and 23,817

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Solution

The fourth proportional to 42,680.28, 58,900.05 and 23,817 is: 32,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,680.28 : 58,900.05 = 23,817 : x
  2. Step 2: Convert to fraction form
    42,680.28/58,900.05 = 23,817/x
  3. Step 3: Cross multiply
    42,680.28x = 58,900.05 × 23,817
  4. Step 4: Simplify right side
    42,680.28x = 1,402,822,490.85
  5. Step 5: Solve for x
    x = 1,402,822,490.85/42,680.28
  6. Step 6: Final answer
    x = 32,868.17

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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.