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Finding the Fourth Proportional to 42,475.84, 58,609.76 and 23,612.48

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Solution

The fourth proportional to 42,475.84, 58,609.76 and 23,612.48 is: 32,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,475.84 : 58,609.76 = 23,612.48 : x
  2. Step 2: Convert to fraction form
    42,475.84/58,609.76 = 23,612.48/x
  3. Step 3: Cross multiply
    42,475.84x = 58,609.76 × 23,612.48
  4. Step 4: Simplify right side
    42,475.84x = 1,383,921,785.80
  5. Step 5: Solve for x
    x = 1,383,921,785.80/42,475.84
  6. Step 6: Final answer
    x = 32,581.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.