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Finding the Fourth Proportional to 42,097.52, 58,098.12 and 23,238.56

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Solution

The fourth proportional to 42,097.52, 58,098.12 and 23,238.56 is: 32,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,097.52 : 58,098.12 = 23,238.56 : x
  2. Step 2: Convert to fraction form
    42,097.52/58,098.12 = 23,238.56/x
  3. Step 3: Cross multiply
    42,097.52x = 58,098.12 × 23,238.56
  4. Step 4: Simplify right side
    42,097.52x = 1,350,116,647.51
  5. Step 5: Solve for x
    x = 1,350,116,647.51/42,097.52
  6. Step 6: Final answer
    x = 32,071.17

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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.