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Finding the Fourth Proportional to 39,833.46, 54,970.17 and 21,928.38

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Solution

The fourth proportional to 39,833.46, 54,970.17 and 21,928.38 is: 30,261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,833.46 : 54,970.17 = 21,928.38 : x
  2. Step 2: Convert to fraction form
    39,833.46/54,970.17 = 21,928.38/x
  3. Step 3: Cross multiply
    39,833.46x = 54,970.17 × 21,928.38
  4. Step 4: Simplify right side
    39,833.46x = 1,205,406,776.42
  5. Step 5: Solve for x
    x = 1,205,406,776.42/39,833.46
  6. Step 6: Final answer
    x = 30,261.16

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Why These Related Problems?

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