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Finding the Fourth Proportional to 39,046.33, 58,568.97 and 9,464.42

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Solution

The fourth proportional to 39,046.33, 58,568.97 and 9,464.42 is: 14,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,046.33 : 58,568.97 = 9,464.42 : x
  2. Step 2: Convert to fraction form
    39,046.33/58,568.97 = 9,464.42/x
  3. Step 3: Cross multiply
    39,046.33x = 58,568.97 × 9,464.42
  4. Step 4: Simplify right side
    39,046.33x = 554,321,038.20
  5. Step 5: Solve for x
    x = 554,321,038.20/39,046.33
  6. Step 6: Final answer
    x = 14,196.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.