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Finding the Fourth Proportional to 42,744.96, 58,979.52 and 24,840

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Solution

The fourth proportional to 42,744.96, 58,979.52 and 24,840 is: 34,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,744.96 : 58,979.52 = 24,840 : x
  2. Step 2: Convert to fraction form
    42,744.96/58,979.52 = 24,840/x
  3. Step 3: Cross multiply
    42,744.96x = 58,979.52 × 24,840
  4. Step 4: Simplify right side
    42,744.96x = 1,465,051,276.80
  5. Step 5: Solve for x
    x = 1,465,051,276.80/42,744.96
  6. Step 6: Final answer
    x = 34,274.25

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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.