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Finding the Fourth Proportional to 31,510.72, 47,273.63 and 9,021.71

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Solution

The fourth proportional to 31,510.72, 47,273.63 and 9,021.71 is: 13,534.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510.72 : 47,273.63 = 9,021.71 : x
  2. Step 2: Convert to fraction form
    31,510.72/47,273.63 = 9,021.71/x
  3. Step 3: Cross multiply
    31,510.72x = 47,273.63 × 9,021.71
  4. Step 4: Simplify right side
    31,510.72x = 426,489,053.58
  5. Step 5: Solve for x
    x = 426,489,053.58/31,510.72
  6. Step 6: Final answer
    x = 13,534.73

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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.