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Finding the Fourth Proportional to 107,120.97, 160,699.68 and 36,983.88

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Solution

The fourth proportional to 107,120.97, 160,699.68 and 36,983.88 is: 55,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,120.97 : 160,699.68 = 36,983.88 : x
  2. Step 2: Convert to fraction form
    107,120.97/160,699.68 = 36,983.88/x
  3. Step 3: Cross multiply
    107,120.97x = 160,699.68 × 36,983.88
  4. Step 4: Simplify right side
    107,120.97x = 5,943,297,681.16
  5. Step 5: Solve for x
    x = 5,943,297,681.16/107,120.97
  6. Step 6: Final answer
    x = 55,482.11

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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.