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Finding the Fourth Proportional to 31,510.92, 47,221.80 and 17,477.12

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Solution

The fourth proportional to 31,510.92, 47,221.80 and 17,477.12 is: 26,190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510.92 : 47,221.80 = 17,477.12 : x
  2. Step 2: Convert to fraction form
    31,510.92/47,221.80 = 17,477.12/x
  3. Step 3: Cross multiply
    31,510.92x = 47,221.80 × 17,477.12
  4. Step 4: Simplify right side
    31,510.92x = 825,301,065.22
  5. Step 5: Solve for x
    x = 825,301,065.22/31,510.92
  6. Step 6: Final answer
    x = 26,190.95

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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.