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Finding the Fourth Proportional to 55,117.46, 75,989.64 and 39,791.08

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Solution

The fourth proportional to 55,117.46, 75,989.64 and 39,791.08 is: 54,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,117.46 : 75,989.64 = 39,791.08 : x
  2. Step 2: Convert to fraction form
    55,117.46/75,989.64 = 39,791.08/x
  3. Step 3: Cross multiply
    55,117.46x = 75,989.64 × 39,791.08
  4. Step 4: Simplify right side
    55,117.46x = 3,023,709,844.41
  5. Step 5: Solve for x
    x = 3,023,709,844.41/55,117.46
  6. Step 6: Final answer
    x = 54,859.38

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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.