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Finding the Fourth Proportional to 107,841.80, 161,705.10 and 37,723.40

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Solution

The fourth proportional to 107,841.80, 161,705.10 and 37,723.40 is: 56,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,841.80 : 161,705.10 = 37,723.40 : x
  2. Step 2: Convert to fraction form
    107,841.80/161,705.10 = 37,723.40/x
  3. Step 3: Cross multiply
    107,841.80x = 161,705.10 × 37,723.40
  4. Step 4: Simplify right side
    107,841.80x = 6,100,066,169.34
  5. Step 5: Solve for x
    x = 6,100,066,169.34/107,841.80
  6. Step 6: Final answer
    x = 56,564.95

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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.