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Finding the Fourth Proportional to 32,038.96, 48,081.12 and 11,264.08

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Solution

The fourth proportional to 32,038.96, 48,081.12 and 11,264.08 is: 16,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.96 : 48,081.12 = 11,264.08 : x
  2. Step 2: Convert to fraction form
    32,038.96/48,081.12 = 11,264.08/x
  3. Step 3: Cross multiply
    32,038.96x = 48,081.12 × 11,264.08
  4. Step 4: Simplify right side
    32,038.96x = 541,589,582.17
  5. Step 5: Solve for x
    x = 541,589,582.17/32,038.96
  6. Step 6: Final answer
    x = 16,904.09

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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.