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Finding the Fourth Proportional to 42,375.12, 58,477.62 and 23,255

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Solution

The fourth proportional to 42,375.12, 58,477.62 and 23,255 is: 32,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,375.12 : 58,477.62 = 23,255 : x
  2. Step 2: Convert to fraction form
    42,375.12/58,477.62 = 23,255/x
  3. Step 3: Cross multiply
    42,375.12x = 58,477.62 × 23,255
  4. Step 4: Simplify right side
    42,375.12x = 1,359,897,053.10
  5. Step 5: Solve for x
    x = 1,359,897,053.10/42,375.12
  6. Step 6: Final answer
    x = 32,091.87

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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.