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Finding the Fourth Proportional to 42,095.82, 58,092.12 and 23,232.81

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Solution

The fourth proportional to 42,095.82, 58,092.12 and 23,232.81 is: 32,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,095.82 : 58,092.12 = 23,232.81 : x
  2. Step 2: Convert to fraction form
    42,095.82/58,092.12 = 23,232.81/x
  3. Step 3: Cross multiply
    42,095.82x = 58,092.12 × 23,232.81
  4. Step 4: Simplify right side
    42,095.82x = 1,349,643,186.46
  5. Step 5: Solve for x
    x = 1,349,643,186.46/42,095.82
  6. Step 6: Final answer
    x = 32,061.22

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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.