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Finding the Fourth Proportional to 42,961, 59,285.45 and 24,097.72

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Solution

The fourth proportional to 42,961, 59,285.45 and 24,097.72 is: 33,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,961 : 59,285.45 = 24,097.72 : x
  2. Step 2: Convert to fraction form
    42,961/59,285.45 = 24,097.72/x
  3. Step 3: Cross multiply
    42,961x = 59,285.45 × 24,097.72
  4. Step 4: Simplify right side
    42,961x = 1,428,644,174.17
  5. Step 5: Solve for x
    x = 1,428,644,174.17/42,961
  6. Step 6: Final answer
    x = 33,254.44

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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.