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Finding the Fourth Proportional to 107,854.60, 161,738.70 and 37,697.80

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Solution

The fourth proportional to 107,854.60, 161,738.70 and 37,697.80 is: 56,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,854.60 : 161,738.70 = 37,697.80 : x
  2. Step 2: Convert to fraction form
    107,854.60/161,738.70 = 37,697.80/x
  3. Step 3: Cross multiply
    107,854.60x = 161,738.70 × 37,697.80
  4. Step 4: Simplify right side
    107,854.60x = 6,097,193,164.86
  5. Step 5: Solve for x
    x = 6,097,193,164.86/107,854.60
  6. Step 6: Final answer
    x = 56,531.60

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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.