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Finding the Fourth Proportional to 91,857.24, 137,820.78 and 47,456.28

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Solution

The fourth proportional to 91,857.24, 137,820.78 and 47,456.28 is: 71,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,857.24 : 137,820.78 = 47,456.28 : x
  2. Step 2: Convert to fraction form
    91,857.24/137,820.78 = 47,456.28/x
  3. Step 3: Cross multiply
    91,857.24x = 137,820.78 × 47,456.28
  4. Step 4: Simplify right side
    91,857.24x = 6,540,461,525.50
  5. Step 5: Solve for x
    x = 6,540,461,525.50/91,857.24
  6. Step 6: Final answer
    x = 71,202.46

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