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Finding the Fourth Proportional to 32,294.34, 48,421.69 and 12,549.85

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Solution

The fourth proportional to 32,294.34, 48,421.69 and 12,549.85 is: 18,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,294.34 : 48,421.69 = 12,549.85 : x
  2. Step 2: Convert to fraction form
    32,294.34/48,421.69 = 12,549.85/x
  3. Step 3: Cross multiply
    32,294.34x = 48,421.69 × 12,549.85
  4. Step 4: Simplify right side
    32,294.34x = 607,684,946.25
  5. Step 5: Solve for x
    x = 607,684,946.25/32,294.34
  6. Step 6: Final answer
    x = 18,817.07

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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.