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Finding the Fourth Proportional to 75,184.38, 103,694.58 and 48,329.64

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Solution

The fourth proportional to 75,184.38, 103,694.58 and 48,329.64 is: 66,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,184.38 : 103,694.58 = 48,329.64 : x
  2. Step 2: Convert to fraction form
    75,184.38/103,694.58 = 48,329.64/x
  3. Step 3: Cross multiply
    75,184.38x = 103,694.58 × 48,329.64
  4. Step 4: Simplify right side
    75,184.38x = 5,011,521,721.35
  5. Step 5: Solve for x
    x = 5,011,521,721.35/75,184.38
  6. Step 6: Final answer
    x = 66,656.42

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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.