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Finding the Fourth Proportional to 42,540, 58,705.20 and 23,677.14

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Solution

The fourth proportional to 42,540, 58,705.20 and 23,677.14 is: 32,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,540 : 58,705.20 = 23,677.14 : x
  2. Step 2: Convert to fraction form
    42,540/58,705.20 = 23,677.14/x
  3. Step 3: Cross multiply
    42,540x = 58,705.20 × 23,677.14
  4. Step 4: Simplify right side
    42,540x = 1,389,971,239.13
  5. Step 5: Solve for x
    x = 1,389,971,239.13/42,540
  6. Step 6: Final answer
    x = 32,674.45

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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.