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Finding the Fourth Proportional to 38,882.74, 53,655.18 and 22,964.14

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Solution

The fourth proportional to 38,882.74, 53,655.18 and 22,964.14 is: 31,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,882.74 : 53,655.18 = 22,964.14 : x
  2. Step 2: Convert to fraction form
    38,882.74/53,655.18 = 22,964.14/x
  3. Step 3: Cross multiply
    38,882.74x = 53,655.18 × 22,964.14
  4. Step 4: Simplify right side
    38,882.74x = 1,232,145,065.25
  5. Step 5: Solve for x
    x = 1,232,145,065.25/38,882.74
  6. Step 6: Final answer
    x = 31,688.74

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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.