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Finding the Fourth Proportional to 32,470.32, 48,708.25 and 11,408.53

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Solution

The fourth proportional to 32,470.32, 48,708.25 and 11,408.53 is: 17,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.32 : 48,708.25 = 11,408.53 : x
  2. Step 2: Convert to fraction form
    32,470.32/48,708.25 = 11,408.53/x
  3. Step 3: Cross multiply
    32,470.32x = 48,708.25 × 11,408.53
  4. Step 4: Simplify right side
    32,470.32x = 555,689,438.12
  5. Step 5: Solve for x
    x = 555,689,438.12/32,470.32
  6. Step 6: Final answer
    x = 17,113.77

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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.