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Finding the Fourth Proportional to 32,800.55, 49,191.71 and 9,102.65

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Solution

The fourth proportional to 32,800.55, 49,191.71 and 9,102.65 is: 13,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,800.55 : 49,191.71 = 9,102.65 : x
  2. Step 2: Convert to fraction form
    32,800.55/49,191.71 = 9,102.65/x
  3. Step 3: Cross multiply
    32,800.55x = 49,191.71 × 9,102.65
  4. Step 4: Simplify right side
    32,800.55x = 447,774,627.56
  5. Step 5: Solve for x
    x = 447,774,627.56/32,800.55
  6. Step 6: Final answer
    x = 13,651.44

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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.