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Finding the Fourth Proportional to 107,066.80, 160,562.40 and 36,929.80

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Solution

The fourth proportional to 107,066.80, 160,562.40 and 36,929.80 is: 55,381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,066.80 : 160,562.40 = 36,929.80 : x
  2. Step 2: Convert to fraction form
    107,066.80/160,562.40 = 36,929.80/x
  3. Step 3: Cross multiply
    107,066.80x = 160,562.40 × 36,929.80
  4. Step 4: Simplify right side
    107,066.80x = 5,929,537,319.52
  5. Step 5: Solve for x
    x = 5,929,537,319.52/107,066.80
  6. Step 6: Final answer
    x = 55,381.66

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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.