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Finding the Fourth Proportional to 28,087, 42,142.80 and 13,306.48

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Solution

The fourth proportional to 28,087, 42,142.80 and 13,306.48 is: 19,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,087 : 42,142.80 = 13,306.48 : x
  2. Step 2: Convert to fraction form
    28,087/42,142.80 = 13,306.48/x
  3. Step 3: Cross multiply
    28,087x = 42,142.80 × 13,306.48
  4. Step 4: Simplify right side
    28,087x = 560,772,325.34
  5. Step 5: Solve for x
    x = 560,772,325.34/28,087
  6. Step 6: Final answer
    x = 19,965.55

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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.