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Finding the Fourth Proportional to 32,119.96, 48,167.97 and 11,054.11

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Solution

The fourth proportional to 32,119.96, 48,167.97 and 11,054.11 is: 16,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,119.96 : 48,167.97 = 11,054.11 : x
  2. Step 2: Convert to fraction form
    32,119.96/48,167.97 = 11,054.11/x
  3. Step 3: Cross multiply
    32,119.96x = 48,167.97 × 11,054.11
  4. Step 4: Simplify right side
    32,119.96x = 532,454,038.86
  5. Step 5: Solve for x
    x = 532,454,038.86/32,119.96
  6. Step 6: Final answer
    x = 16,577.05

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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.