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Finding the Fourth Proportional to 107,875.76, 161,808.60 and 37,770.80

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Solution

The fourth proportional to 107,875.76, 161,808.60 and 37,770.80 is: 56,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,875.76 : 161,808.60 = 37,770.80 : x
  2. Step 2: Convert to fraction form
    107,875.76/161,808.60 = 37,770.80/x
  3. Step 3: Cross multiply
    107,875.76x = 161,808.60 × 37,770.80
  4. Step 4: Simplify right side
    107,875.76x = 6,111,640,268.88
  5. Step 5: Solve for x
    x = 6,111,640,268.88/107,875.76
  6. Step 6: Final answer
    x = 56,654.44

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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.