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Finding the Fourth Proportional to 48,610, 67,110.96 and 31,872.16

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Solution

The fourth proportional to 48,610, 67,110.96 and 31,872.16 is: 44,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,610 : 67,110.96 = 31,872.16 : x
  2. Step 2: Convert to fraction form
    48,610/67,110.96 = 31,872.16/x
  3. Step 3: Cross multiply
    48,610x = 67,110.96 × 31,872.16
  4. Step 4: Simplify right side
    48,610x = 2,138,971,254.87
  5. Step 5: Solve for x
    x = 2,138,971,254.87/48,610
  6. Step 6: Final answer
    x = 44,002.70

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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.