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Finding the Fourth Proportional to 31,459.93, 47,197.28 and 10,399.97

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Solution

The fourth proportional to 31,459.93, 47,197.28 and 10,399.97 is: 15,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459.93 : 47,197.28 = 10,399.97 : x
  2. Step 2: Convert to fraction form
    31,459.93/47,197.28 = 10,399.97/x
  3. Step 3: Cross multiply
    31,459.93x = 47,197.28 × 10,399.97
  4. Step 4: Simplify right side
    31,459.93x = 490,850,296.08
  5. Step 5: Solve for x
    x = 490,850,296.08/31,459.93
  6. Step 6: Final answer
    x = 15,602.40

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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.