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Finding the Fourth Proportional to 37,065.65, 51,129.71 and 23,449.47

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Solution

The fourth proportional to 37,065.65, 51,129.71 and 23,449.47 is: 32,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,065.65 : 51,129.71 = 23,449.47 : x
  2. Step 2: Convert to fraction form
    37,065.65/51,129.71 = 23,449.47/x
  3. Step 3: Cross multiply
    37,065.65x = 51,129.71 × 23,449.47
  4. Step 4: Simplify right side
    37,065.65x = 1,198,964,313.75
  5. Step 5: Solve for x
    x = 1,198,964,313.75/37,065.65
  6. Step 6: Final answer
    x = 32,347.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.