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Finding the Fourth Proportional to 32,381.76, 48,581.92 and 11,606.72

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Solution

The fourth proportional to 32,381.76, 48,581.92 and 11,606.72 is: 17,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,381.76 : 48,581.92 = 11,606.72 : x
  2. Step 2: Convert to fraction form
    32,381.76/48,581.92 = 11,606.72/x
  3. Step 3: Cross multiply
    32,381.76x = 48,581.92 × 11,606.72
  4. Step 4: Simplify right side
    32,381.76x = 563,876,742.50
  5. Step 5: Solve for x
    x = 563,876,742.50/32,381.76
  6. Step 6: Final answer
    x = 17,413.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.