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Finding the Fourth Proportional to 83,820.42, 115,666.38 and 49,827.15

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Solution

The fourth proportional to 83,820.42, 115,666.38 and 49,827.15 is: 68,758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,820.42 : 115,666.38 = 49,827.15 : x
  2. Step 2: Convert to fraction form
    83,820.42/115,666.38 = 49,827.15/x
  3. Step 3: Cross multiply
    83,820.42x = 115,666.38 × 49,827.15
  4. Step 4: Simplify right side
    83,820.42x = 5,763,326,066.22
  5. Step 5: Solve for x
    x = 5,763,326,066.22/83,820.42
  6. Step 6: Final answer
    x = 68,758.02

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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.