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Finding the Fourth Proportional to 77,841.60, 107,429.76 and 44,304

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Solution

The fourth proportional to 77,841.60, 107,429.76 and 44,304 is: 61,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,841.60 : 107,429.76 = 44,304 : x
  2. Step 2: Convert to fraction form
    77,841.60/107,429.76 = 44,304/x
  3. Step 3: Cross multiply
    77,841.60x = 107,429.76 × 44,304
  4. Step 4: Simplify right side
    77,841.60x = 4,759,568,087.04
  5. Step 5: Solve for x
    x = 4,759,568,087.04/77,841.60
  6. Step 6: Final answer
    x = 61,144.27

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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.