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Finding the Fourth Proportional to 32,280.34, 48,401.74 and 12,535.78

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Solution

The fourth proportional to 32,280.34, 48,401.74 and 12,535.78 is: 18,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,280.34 : 48,401.74 = 12,535.78 : x
  2. Step 2: Convert to fraction form
    32,280.34/48,401.74 = 12,535.78/x
  3. Step 3: Cross multiply
    32,280.34x = 48,401.74 × 12,535.78
  4. Step 4: Simplify right side
    32,280.34x = 606,753,564.26
  5. Step 5: Solve for x
    x = 606,753,564.26/32,280.34
  6. Step 6: Final answer
    x = 18,796.38

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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.