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Finding the Fourth Proportional to 50,689.38, 69,876.86 and 35,536.16

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Solution

The fourth proportional to 50,689.38, 69,876.86 and 35,536.16 is: 48,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,689.38 : 69,876.86 = 35,536.16 : x
  2. Step 2: Convert to fraction form
    50,689.38/69,876.86 = 35,536.16/x
  3. Step 3: Cross multiply
    50,689.38x = 69,876.86 × 35,536.16
  4. Step 4: Simplify right side
    50,689.38x = 2,483,155,277.26
  5. Step 5: Solve for x
    x = 2,483,155,277.26/50,689.38
  6. Step 6: Final answer
    x = 48,987.68

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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.