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Finding the Fourth Proportional to 42,497.28, 58,648.32 and 23,634

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Solution

The fourth proportional to 42,497.28, 58,648.32 and 23,634 is: 32,616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,497.28 : 58,648.32 = 23,634 : x
  2. Step 2: Convert to fraction form
    42,497.28/58,648.32 = 23,634/x
  3. Step 3: Cross multiply
    42,497.28x = 58,648.32 × 23,634
  4. Step 4: Simplify right side
    42,497.28x = 1,386,094,394.88
  5. Step 5: Solve for x
    x = 1,386,094,394.88/42,497.28
  6. Step 6: Final answer
    x = 32,616.07

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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.