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Finding the Fourth Proportional to 55,924, 77,175.66 and 30,774.04

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Solution

The fourth proportional to 55,924, 77,175.66 and 30,774.04 is: 42,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,924 : 77,175.66 = 30,774.04 : x
  2. Step 2: Convert to fraction form
    55,924/77,175.66 = 30,774.04/x
  3. Step 3: Cross multiply
    55,924x = 77,175.66 × 30,774.04
  4. Step 4: Simplify right side
    55,924x = 2,375,006,847.87
  5. Step 5: Solve for x
    x = 2,375,006,847.87/55,924
  6. Step 6: Final answer
    x = 42,468.47

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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.