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Finding the Fourth Proportional to 106,987.80, 160,507.08 and 36,865.02

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Solution

The fourth proportional to 106,987.80, 160,507.08 and 36,865.02 is: 55,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,987.80 : 160,507.08 = 36,865.02 : x
  2. Step 2: Convert to fraction form
    106,987.80/160,507.08 = 36,865.02/x
  3. Step 3: Cross multiply
    106,987.80x = 160,507.08 × 36,865.02
  4. Step 4: Simplify right side
    106,987.80x = 5,917,096,714.34
  5. Step 5: Solve for x
    x = 5,917,096,714.34/106,987.80
  6. Step 6: Final answer
    x = 55,306.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.