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Finding the Fourth Proportional to 56,248.68, 77,622.84 and 31,098

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Solution

The fourth proportional to 56,248.68, 77,622.84 and 31,098 is: 42,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,248.68 : 77,622.84 = 31,098 : x
  2. Step 2: Convert to fraction form
    56,248.68/77,622.84 = 31,098/x
  3. Step 3: Cross multiply
    56,248.68x = 77,622.84 × 31,098
  4. Step 4: Simplify right side
    56,248.68x = 2,413,915,078.32
  5. Step 5: Solve for x
    x = 2,413,915,078.32/56,248.68
  6. Step 6: Final answer
    x = 42,915.05

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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.