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Finding the Fourth Proportional to 42,570.72, 58,744.08 and 23,706

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Solution

The fourth proportional to 42,570.72, 58,744.08 and 23,706 is: 32,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,570.72 : 58,744.08 = 23,706 : x
  2. Step 2: Convert to fraction form
    42,570.72/58,744.08 = 23,706/x
  3. Step 3: Cross multiply
    42,570.72x = 58,744.08 × 23,706
  4. Step 4: Simplify right side
    42,570.72x = 1,392,587,160.48
  5. Step 5: Solve for x
    x = 1,392,587,160.48/42,570.72
  6. Step 6: Final answer
    x = 32,712.32

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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.