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Finding the Fourth Proportional to 31,403.18, 47,105.04 and 9,216.92

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Solution

The fourth proportional to 31,403.18, 47,105.04 and 9,216.92 is: 13,825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,403.18 : 47,105.04 = 9,216.92 : x
  2. Step 2: Convert to fraction form
    31,403.18/47,105.04 = 9,216.92/x
  3. Step 3: Cross multiply
    31,403.18x = 47,105.04 × 9,216.92
  4. Step 4: Simplify right side
    31,403.18x = 434,163,385.28
  5. Step 5: Solve for x
    x = 434,163,385.28/31,403.18
  6. Step 6: Final answer
    x = 13,825.46

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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.