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Finding the Fourth Proportional to 42,128.64, 58,129.92 and 27,216

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Solution

The fourth proportional to 42,128.64, 58,129.92 and 27,216 is: 37,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,128.64 : 58,129.92 = 27,216 : x
  2. Step 2: Convert to fraction form
    42,128.64/58,129.92 = 27,216/x
  3. Step 3: Cross multiply
    42,128.64x = 58,129.92 × 27,216
  4. Step 4: Simplify right side
    42,128.64x = 1,582,063,902.72
  5. Step 5: Solve for x
    x = 1,582,063,902.72/42,128.64
  6. Step 6: Final answer
    x = 37,553.17

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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.