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Finding the Fourth Proportional to 32,347.75, 48,521.65 and 8,974.21

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Solution

The fourth proportional to 32,347.75, 48,521.65 and 8,974.21 is: 13,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,347.75 : 48,521.65 = 8,974.21 : x
  2. Step 2: Convert to fraction form
    32,347.75/48,521.65 = 8,974.21/x
  3. Step 3: Cross multiply
    32,347.75x = 48,521.65 × 8,974.21
  4. Step 4: Simplify right side
    32,347.75x = 435,443,454.21
  5. Step 5: Solve for x
    x = 435,443,454.21/32,347.75
  6. Step 6: Final answer
    x = 13,461.32

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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.