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Finding the Fourth Proportional to 32,118.96, 48,166.47 and 11,053.11

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Solution

The fourth proportional to 32,118.96, 48,166.47 and 11,053.11 is: 16,575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,118.96 : 48,166.47 = 11,053.11 : x
  2. Step 2: Convert to fraction form
    32,118.96/48,166.47 = 11,053.11/x
  3. Step 3: Cross multiply
    32,118.96x = 48,166.47 × 11,053.11
  4. Step 4: Simplify right side
    32,118.96x = 532,389,291.22
  5. Step 5: Solve for x
    x = 532,389,291.22/32,118.96
  6. Step 6: Final answer
    x = 16,575.55

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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.