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Finding the Fourth Proportional to 32,773.50, 49,156.07 and 10,584.56

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Solution

The fourth proportional to 32,773.50, 49,156.07 and 10,584.56 is: 15,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,773.50 : 49,156.07 = 10,584.56 : x
  2. Step 2: Convert to fraction form
    32,773.50/49,156.07 = 10,584.56/x
  3. Step 3: Cross multiply
    32,773.50x = 49,156.07 × 10,584.56
  4. Step 4: Simplify right side
    32,773.50x = 520,295,442.25
  5. Step 5: Solve for x
    x = 520,295,442.25/32,773.50
  6. Step 6: Final answer
    x = 15,875.49

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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.