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Finding the Fourth Proportional to 52,203, 78,304.68 and 15,267

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Solution

The fourth proportional to 52,203, 78,304.68 and 15,267 is: 22,900.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,203 : 78,304.68 = 15,267 : x
  2. Step 2: Convert to fraction form
    52,203/78,304.68 = 15,267/x
  3. Step 3: Cross multiply
    52,203x = 78,304.68 × 15,267
  4. Step 4: Simplify right side
    52,203x = 1,195,477,549.56
  5. Step 5: Solve for x
    x = 1,195,477,549.56/52,203
  6. Step 6: Final answer
    x = 22,900.55

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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.