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Finding the Fourth Proportional to 39,795.64, 54,934.40 and 23,877

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Solution

The fourth proportional to 39,795.64, 54,934.40 and 23,877 is: 32,960.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,795.64 : 54,934.40 = 23,877 : x
  2. Step 2: Convert to fraction form
    39,795.64/54,934.40 = 23,877/x
  3. Step 3: Cross multiply
    39,795.64x = 54,934.40 × 23,877
  4. Step 4: Simplify right side
    39,795.64x = 1,311,668,728.49
  5. Step 5: Solve for x
    x = 1,311,668,728.49/39,795.64
  6. Step 6: Final answer
    x = 32,960.11

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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.