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Finding the Fourth Proportional to 91,175.50, 125,827.12 and 53,461.90

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Solution

The fourth proportional to 91,175.50, 125,827.12 and 53,461.90 is: 73,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,175.50 : 125,827.12 = 53,461.90 : x
  2. Step 2: Convert to fraction form
    91,175.50/125,827.12 = 53,461.90/x
  3. Step 3: Cross multiply
    91,175.50x = 125,827.12 × 53,461.90
  4. Step 4: Simplify right side
    91,175.50x = 6,726,956,906.73
  5. Step 5: Solve for x
    x = 6,726,956,906.73/91,175.50
  6. Step 6: Final answer
    x = 73,780.31

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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.