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Finding the Fourth Proportional to 84,843.58, 127,281.76 and 32,248.96

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Solution

The fourth proportional to 84,843.58, 127,281.76 and 32,248.96 is: 48,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,843.58 : 127,281.76 = 32,248.96 : x
  2. Step 2: Convert to fraction form
    84,843.58/127,281.76 = 32,248.96/x
  3. Step 3: Cross multiply
    84,843.58x = 127,281.76 × 32,248.96
  4. Step 4: Simplify right side
    84,843.58x = 4,104,704,386.97
  5. Step 5: Solve for x
    x = 4,104,704,386.97/84,843.58
  6. Step 6: Final answer
    x = 48,379.67

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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.