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Finding the Fourth Proportional to 42,042.32, 58,019.16 and 22,922.24

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Solution

The fourth proportional to 42,042.32, 58,019.16 and 22,922.24 is: 31,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,042.32 : 58,019.16 = 22,922.24 : x
  2. Step 2: Convert to fraction form
    42,042.32/58,019.16 = 22,922.24/x
  3. Step 3: Cross multiply
    42,042.32x = 58,019.16 × 22,922.24
  4. Step 4: Simplify right side
    42,042.32x = 1,329,929,110.12
  5. Step 5: Solve for x
    x = 1,329,929,110.12/42,042.32
  6. Step 6: Final answer
    x = 31,633.10

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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.