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Finding the Fourth Proportional to 31,510.33, 47,273.06 and 9,021.34

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Solution

The fourth proportional to 31,510.33, 47,273.06 and 9,021.34 is: 13,534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510.33 : 47,273.06 = 9,021.34 : x
  2. Step 2: Convert to fraction form
    31,510.33/47,273.06 = 9,021.34/x
  3. Step 3: Cross multiply
    31,510.33x = 47,273.06 × 9,021.34
  4. Step 4: Simplify right side
    31,510.33x = 426,466,347.10
  5. Step 5: Solve for x
    x = 426,466,347.10/31,510.33
  6. Step 6: Final answer
    x = 13,534.18

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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.