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Finding the Fourth Proportional to 77,281.20, 115,828.20 and 32,814.60

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Solution

The fourth proportional to 77,281.20, 115,828.20 and 32,814.60 is: 49,182.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,281.20 : 115,828.20 = 32,814.60 : x
  2. Step 2: Convert to fraction form
    77,281.20/115,828.20 = 32,814.60/x
  3. Step 3: Cross multiply
    77,281.20x = 115,828.20 × 32,814.60
  4. Step 4: Simplify right side
    77,281.20x = 3,800,856,051.72
  5. Step 5: Solve for x
    x = 3,800,856,051.72/77,281.20
  6. Step 6: Final answer
    x = 49,182.16

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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.