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Finding the Fourth Proportional to 31,505.34, 47,264.22 and 9,016.23

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Solution

The fourth proportional to 31,505.34, 47,264.22 and 9,016.23 is: 13,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,505.34 : 47,264.22 = 9,016.23 : x
  2. Step 2: Convert to fraction form
    31,505.34/47,264.22 = 9,016.23/x
  3. Step 3: Cross multiply
    31,505.34x = 47,264.22 × 9,016.23
  4. Step 4: Simplify right side
    31,505.34x = 426,145,078.29
  5. Step 5: Solve for x
    x = 426,145,078.29/31,505.34
  6. Step 6: Final answer
    x = 13,526.12

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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.