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Finding the Fourth Proportional to 42,128, 58,141.76 and 24,464

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Solution

The fourth proportional to 42,128, 58,141.76 and 24,464 is: 33,763.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,128 : 58,141.76 = 24,464 : x
  2. Step 2: Convert to fraction form
    42,128/58,141.76 = 24,464/x
  3. Step 3: Cross multiply
    42,128x = 58,141.76 × 24,464
  4. Step 4: Simplify right side
    42,128x = 1,422,380,016.64
  5. Step 5: Solve for x
    x = 1,422,380,016.64/42,128
  6. Step 6: Final answer
    x = 33,763.29

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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.