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Finding the Fourth Proportional to 84,110.16, 126,129.60 and 31,482.96

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Solution

The fourth proportional to 84,110.16, 126,129.60 and 31,482.96 is: 47,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,110.16 : 126,129.60 = 31,482.96 : x
  2. Step 2: Convert to fraction form
    84,110.16/126,129.60 = 31,482.96/x
  3. Step 3: Cross multiply
    84,110.16x = 126,129.60 × 31,482.96
  4. Step 4: Simplify right side
    84,110.16x = 3,970,933,151.62
  5. Step 5: Solve for x
    x = 3,970,933,151.62/84,110.16
  6. Step 6: Final answer
    x = 47,211.10

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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.