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Finding the Fourth Proportional to 39,228.96, 58,850.50 and 14,304

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Solution

The fourth proportional to 39,228.96, 58,850.50 and 14,304 is: 21,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,228.96 : 58,850.50 = 14,304 : x
  2. Step 2: Convert to fraction form
    39,228.96/58,850.50 = 14,304/x
  3. Step 3: Cross multiply
    39,228.96x = 58,850.50 × 14,304
  4. Step 4: Simplify right side
    39,228.96x = 841,797,552
  5. Step 5: Solve for x
    x = 841,797,552/39,228.96
  6. Step 6: Final answer
    x = 21,458.57

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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.