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Finding the Fourth Proportional to 32,314.98, 48,473.55 and 8,939.46

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Solution

The fourth proportional to 32,314.98, 48,473.55 and 8,939.46 is: 13,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,314.98 : 48,473.55 = 8,939.46 : x
  2. Step 2: Convert to fraction form
    32,314.98/48,473.55 = 8,939.46/x
  3. Step 3: Cross multiply
    32,314.98x = 48,473.55 × 8,939.46
  4. Step 4: Simplify right side
    32,314.98x = 433,327,438.64
  5. Step 5: Solve for x
    x = 433,327,438.64/32,314.98
  6. Step 6: Final answer
    x = 13,409.49

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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.