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Finding the Fourth Proportional to 32,606.75, 48,917.14 and 10,116.98

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Solution

The fourth proportional to 32,606.75, 48,917.14 and 10,116.98 is: 15,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,606.75 : 48,917.14 = 10,116.98 : x
  2. Step 2: Convert to fraction form
    32,606.75/48,917.14 = 10,116.98/x
  3. Step 3: Cross multiply
    32,606.75x = 48,917.14 × 10,116.98
  4. Step 4: Simplify right side
    32,606.75x = 494,893,727.04
  5. Step 5: Solve for x
    x = 494,893,727.04/32,606.75
  6. Step 6: Final answer
    x = 15,177.65

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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.