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Finding the Fourth Proportional to 42,498, 58,647.24 and 23,634.72

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Solution

The fourth proportional to 42,498, 58,647.24 and 23,634.72 is: 32,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,498 : 58,647.24 = 23,634.72 : x
  2. Step 2: Convert to fraction form
    42,498/58,647.24 = 23,634.72/x
  3. Step 3: Cross multiply
    42,498x = 58,647.24 × 23,634.72
  4. Step 4: Simplify right side
    42,498x = 1,386,111,096.17
  5. Step 5: Solve for x
    x = 1,386,111,096.17/42,498
  6. Step 6: Final answer
    x = 32,615.91

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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.