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Finding the Fourth Proportional to 85,110.10, 127,627.40 and 32,482.78

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Solution

The fourth proportional to 85,110.10, 127,627.40 and 32,482.78 is: 48,709.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,110.10 : 127,627.40 = 32,482.78 : x
  2. Step 2: Convert to fraction form
    85,110.10/127,627.40 = 32,482.78/x
  3. Step 3: Cross multiply
    85,110.10x = 127,627.40 × 32,482.78
  4. Step 4: Simplify right side
    85,110.10x = 4,145,692,756.17
  5. Step 5: Solve for x
    x = 4,145,692,756.17/85,110.10
  6. Step 6: Final answer
    x = 48,709.76

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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.