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Finding the Fourth Proportional to 37,035.81, 55,543.80 and 10,380.30

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Solution

The fourth proportional to 37,035.81, 55,543.80 and 10,380.30 is: 15,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,035.81 : 55,543.80 = 10,380.30 : x
  2. Step 2: Convert to fraction form
    37,035.81/55,543.80 = 10,380.30/x
  3. Step 3: Cross multiply
    37,035.81x = 55,543.80 × 10,380.30
  4. Step 4: Simplify right side
    37,035.81x = 576,561,421.02
  5. Step 5: Solve for x
    x = 576,561,421.02/37,035.81
  6. Step 6: Final answer
    x = 15,567.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.