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Finding the Fourth Proportional to 37,833.42, 56,720.70 and 24,478.20

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Solution

The fourth proportional to 37,833.42, 56,720.70 and 24,478.20 is: 36,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,833.42 : 56,720.70 = 24,478.20 : x
  2. Step 2: Convert to fraction form
    37,833.42/56,720.70 = 24,478.20/x
  3. Step 3: Cross multiply
    37,833.42x = 56,720.70 × 24,478.20
  4. Step 4: Simplify right side
    37,833.42x = 1,388,420,442.06
  5. Step 5: Solve for x
    x = 1,388,420,442.06/37,833.42
  6. Step 6: Final answer
    x = 36,698.25

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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.