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Finding the Fourth Proportional to 31,775.68, 47,663.52 and 10,999.18

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Solution

The fourth proportional to 31,775.68, 47,663.52 and 10,999.18 is: 16,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.68 : 47,663.52 = 10,999.18 : x
  2. Step 2: Convert to fraction form
    31,775.68/47,663.52 = 10,999.18/x
  3. Step 3: Cross multiply
    31,775.68x = 47,663.52 × 10,999.18
  4. Step 4: Simplify right side
    31,775.68x = 524,259,635.91
  5. Step 5: Solve for x
    x = 524,259,635.91/31,775.68
  6. Step 6: Final answer
    x = 16,498.77

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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.