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Finding the Fourth Proportional to 77,296.60, 106,680.57 and 43,307.38

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Solution

The fourth proportional to 77,296.60, 106,680.57 and 43,307.38 is: 59,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,296.60 : 106,680.57 = 43,307.38 : x
  2. Step 2: Convert to fraction form
    77,296.60/106,680.57 = 43,307.38/x
  3. Step 3: Cross multiply
    77,296.60x = 106,680.57 × 43,307.38
  4. Step 4: Simplify right side
    77,296.60x = 4,620,056,479.17
  5. Step 5: Solve for x
    x = 4,620,056,479.17/77,296.60
  6. Step 6: Final answer
    x = 59,770.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.