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Finding the Fourth Proportional to 75,293.53, 112,718.39 and 65,951.80

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Solution

The fourth proportional to 75,293.53, 112,718.39 and 65,951.80 is: 98,733.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,293.53 : 112,718.39 = 65,951.80 : x
  2. Step 2: Convert to fraction form
    75,293.53/112,718.39 = 65,951.80/x
  3. Step 3: Cross multiply
    75,293.53x = 112,718.39 × 65,951.80
  4. Step 4: Simplify right side
    75,293.53x = 7,433,980,102.05
  5. Step 5: Solve for x
    x = 7,433,980,102.05/75,293.53
  6. Step 6: Final answer
    x = 98,733.32

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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.