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Finding the Fourth Proportional to 42,532.64, 58,684.56 and 27,620

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Solution

The fourth proportional to 42,532.64, 58,684.56 and 27,620 is: 38,108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,532.64 : 58,684.56 = 27,620 : x
  2. Step 2: Convert to fraction form
    42,532.64/58,684.56 = 27,620/x
  3. Step 3: Cross multiply
    42,532.64x = 58,684.56 × 27,620
  4. Step 4: Simplify right side
    42,532.64x = 1,620,867,547.20
  5. Step 5: Solve for x
    x = 1,620,867,547.20/42,532.64
  6. Step 6: Final answer
    x = 38,108.79

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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.