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Finding the Fourth Proportional to 45,198.76, 67,799.04 and 31,817.02

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Solution

The fourth proportional to 45,198.76, 67,799.04 and 31,817.02 is: 47,726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,198.76 : 67,799.04 = 31,817.02 : x
  2. Step 2: Convert to fraction form
    45,198.76/67,799.04 = 31,817.02/x
  3. Step 3: Cross multiply
    45,198.76x = 67,799.04 × 31,817.02
  4. Step 4: Simplify right side
    45,198.76x = 2,157,163,411.66
  5. Step 5: Solve for x
    x = 2,157,163,411.66/45,198.76
  6. Step 6: Final answer
    x = 47,726.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.