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Finding the Fourth Proportional to 31,534.96, 47,302.62 and 9,348.53

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Solution

The fourth proportional to 31,534.96, 47,302.62 and 9,348.53 is: 14,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,534.96 : 47,302.62 = 9,348.53 : x
  2. Step 2: Convert to fraction form
    31,534.96/47,302.62 = 9,348.53/x
  3. Step 3: Cross multiply
    31,534.96x = 47,302.62 × 9,348.53
  4. Step 4: Simplify right side
    31,534.96x = 442,209,725.64
  5. Step 5: Solve for x
    x = 442,209,725.64/31,534.96
  6. Step 6: Final answer
    x = 14,022.84

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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.