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Finding the Fourth Proportional to 65,055.62, 89,777.38 and 38,198.57

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Solution

The fourth proportional to 65,055.62, 89,777.38 and 38,198.57 is: 52,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,055.62 : 89,777.38 = 38,198.57 : x
  2. Step 2: Convert to fraction form
    65,055.62/89,777.38 = 38,198.57/x
  3. Step 3: Cross multiply
    65,055.62x = 89,777.38 × 38,198.57
  4. Step 4: Simplify right side
    65,055.62x = 3,429,367,784.18
  5. Step 5: Solve for x
    x = 3,429,367,784.18/65,055.62
  6. Step 6: Final answer
    x = 52,714.40

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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.