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Finding the Fourth Proportional to 48,847.76, 67,411.32 and 27,626.57

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Solution

The fourth proportional to 48,847.76, 67,411.32 and 27,626.57 is: 38,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,847.76 : 67,411.32 = 27,626.57 : x
  2. Step 2: Convert to fraction form
    48,847.76/67,411.32 = 27,626.57/x
  3. Step 3: Cross multiply
    48,847.76x = 67,411.32 × 27,626.57
  4. Step 4: Simplify right side
    48,847.76x = 1,862,343,213.72
  5. Step 5: Solve for x
    x = 1,862,343,213.72/48,847.76
  6. Step 6: Final answer
    x = 38,125.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.