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Finding the Fourth Proportional to 31,459.80, 47,197.86 and 11,738.50

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Solution

The fourth proportional to 31,459.80, 47,197.86 and 11,738.50 is: 17,610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459.80 : 47,197.86 = 11,738.50 : x
  2. Step 2: Convert to fraction form
    31,459.80/47,197.86 = 11,738.50/x
  3. Step 3: Cross multiply
    31,459.80x = 47,197.86 × 11,738.50
  4. Step 4: Simplify right side
    31,459.80x = 554,032,079.61
  5. Step 5: Solve for x
    x = 554,032,079.61/31,459.80
  6. Step 6: Final answer
    x = 17,610.79

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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.