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Finding the Fourth Proportional to 32,607.76, 48,917.96 and 13,887.48

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Solution

The fourth proportional to 32,607.76, 48,917.96 and 13,887.48 is: 20,833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,607.76 : 48,917.96 = 13,887.48 : x
  2. Step 2: Convert to fraction form
    32,607.76/48,917.96 = 13,887.48/x
  3. Step 3: Cross multiply
    32,607.76x = 48,917.96 × 13,887.48
  4. Step 4: Simplify right side
    32,607.76x = 679,347,191.14
  5. Step 5: Solve for x
    x = 679,347,191.14/32,607.76
  6. Step 6: Final answer
    x = 20,833.91

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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.