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Finding the Fourth Proportional to 42,376.84, 58,478.10 and 23,513.80

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Solution

The fourth proportional to 42,376.84, 58,478.10 and 23,513.80 is: 32,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,376.84 : 58,478.10 = 23,513.80 : x
  2. Step 2: Convert to fraction form
    42,376.84/58,478.10 = 23,513.80/x
  3. Step 3: Cross multiply
    42,376.84x = 58,478.10 × 23,513.80
  4. Step 4: Simplify right side
    42,376.84x = 1,375,042,347.78
  5. Step 5: Solve for x
    x = 1,375,042,347.78/42,376.84
  6. Step 6: Final answer
    x = 32,447.97

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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.