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Finding the Fourth Proportional to 75,178.38, 103,686.30 and 48,323.64

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Solution

The fourth proportional to 75,178.38, 103,686.30 and 48,323.64 is: 66,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,178.38 : 103,686.30 = 48,323.64 : x
  2. Step 2: Convert to fraction form
    75,178.38/103,686.30 = 48,323.64/x
  3. Step 3: Cross multiply
    75,178.38x = 103,686.30 × 48,323.64
  4. Step 4: Simplify right side
    75,178.38x = 5,010,499,434.13
  5. Step 5: Solve for x
    x = 5,010,499,434.13/75,178.38
  6. Step 6: Final answer
    x = 66,648.14

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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.