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Finding the Fourth Proportional to 107,505.80, 161,306.70 and 37,435.40

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Solution

The fourth proportional to 107,505.80, 161,306.70 and 37,435.40 is: 56,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,505.80 : 161,306.70 = 37,435.40 : x
  2. Step 2: Convert to fraction form
    107,505.80/161,306.70 = 37,435.40/x
  3. Step 3: Cross multiply
    107,505.80x = 161,306.70 × 37,435.40
  4. Step 4: Simplify right side
    107,505.80x = 6,038,580,837.18
  5. Step 5: Solve for x
    x = 6,038,580,837.18/107,505.80
  6. Step 6: Final answer
    x = 56,169.81

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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.