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Finding the Fourth Proportional to 55,924.88, 77,175 and 32,065.52

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Solution

The fourth proportional to 55,924.88, 77,175 and 32,065.52 is: 44,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,924.88 : 77,175 = 32,065.52 : x
  2. Step 2: Convert to fraction form
    55,924.88/77,175 = 32,065.52/x
  3. Step 3: Cross multiply
    55,924.88x = 77,175 × 32,065.52
  4. Step 4: Simplify right side
    55,924.88x = 2,474,656,506
  5. Step 5: Solve for x
    x = 2,474,656,506/55,924.88
  6. Step 6: Final answer
    x = 44,249.65

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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.