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Finding the Fourth Proportional to 75,196.60, 103,743.42 and 48,353.91

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Solution

The fourth proportional to 75,196.60, 103,743.42 and 48,353.91 is: 66,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,196.60 : 103,743.42 = 48,353.91 : x
  2. Step 2: Convert to fraction form
    75,196.60/103,743.42 = 48,353.91/x
  3. Step 3: Cross multiply
    75,196.60x = 103,743.42 × 48,353.91
  4. Step 4: Simplify right side
    75,196.60x = 5,016,400,114.66
  5. Step 5: Solve for x
    x = 5,016,400,114.66/75,196.60
  6. Step 6: Final answer
    x = 66,710.46

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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.