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Finding the Fourth Proportional to 31,703.36, 47,562.93 and 9,517.13

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Solution

The fourth proportional to 31,703.36, 47,562.93 and 9,517.13 is: 14,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,703.36 : 47,562.93 = 9,517.13 : x
  2. Step 2: Convert to fraction form
    31,703.36/47,562.93 = 9,517.13/x
  3. Step 3: Cross multiply
    31,703.36x = 47,562.93 × 9,517.13
  4. Step 4: Simplify right side
    31,703.36x = 452,662,587.99
  5. Step 5: Solve for x
    x = 452,662,587.99/31,703.36
  6. Step 6: Final answer
    x = 14,278.06

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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.