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Finding the Fourth Proportional to 42,680.70, 58,902.63 and 23,564.16

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Solution

The fourth proportional to 42,680.70, 58,902.63 and 23,564.16 is: 32,520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,680.70 : 58,902.63 = 23,564.16 : x
  2. Step 2: Convert to fraction form
    42,680.70/58,902.63 = 23,564.16/x
  3. Step 3: Cross multiply
    42,680.70x = 58,902.63 × 23,564.16
  4. Step 4: Simplify right side
    42,680.70x = 1,387,990,997.74
  5. Step 5: Solve for x
    x = 1,387,990,997.74/42,680.70
  6. Step 6: Final answer
    x = 32,520.34

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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.