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Finding the Fourth Proportional to 75,296.33, 112,722.59 and 65,954.60

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Solution

The fourth proportional to 75,296.33, 112,722.59 and 65,954.60 is: 98,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,296.33 : 112,722.59 = 65,954.60 : x
  2. Step 2: Convert to fraction form
    75,296.33/112,722.59 = 65,954.60/x
  3. Step 3: Cross multiply
    75,296.33x = 112,722.59 × 65,954.60
  4. Step 4: Simplify right side
    75,296.33x = 7,434,573,621.47
  5. Step 5: Solve for x
    x = 7,434,573,621.47/75,296.33
  6. Step 6: Final answer
    x = 98,737.52

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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.