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Finding the Fourth Proportional to 48,643.72, 67,129.68 and 29,527

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Solution

The fourth proportional to 48,643.72, 67,129.68 and 29,527 is: 40,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,643.72 : 67,129.68 = 29,527 : x
  2. Step 2: Convert to fraction form
    48,643.72/67,129.68 = 29,527/x
  3. Step 3: Cross multiply
    48,643.72x = 67,129.68 × 29,527
  4. Step 4: Simplify right side
    48,643.72x = 1,982,138,061.36
  5. Step 5: Solve for x
    x = 1,982,138,061.36/48,643.72
  6. Step 6: Final answer
    x = 40,748.08

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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.