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Finding the Fourth Proportional to 77,695.60, 116,543.40 and 33,314.80

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Solution

The fourth proportional to 77,695.60, 116,543.40 and 33,314.80 is: 49,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,695.60 : 116,543.40 = 33,314.80 : x
  2. Step 2: Convert to fraction form
    77,695.60/116,543.40 = 33,314.80/x
  3. Step 3: Cross multiply
    77,695.60x = 116,543.40 × 33,314.80
  4. Step 4: Simplify right side
    77,695.60x = 3,882,620,062.32
  5. Step 5: Solve for x
    x = 3,882,620,062.32/77,695.60
  6. Step 6: Final answer
    x = 49,972.20

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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.