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Finding the Fourth Proportional to 35,058.20, 52,601.70 and 12,882.20

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Solution

The fourth proportional to 35,058.20, 52,601.70 and 12,882.20 is: 19,328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,058.20 : 52,601.70 = 12,882.20 : x
  2. Step 2: Convert to fraction form
    35,058.20/52,601.70 = 12,882.20/x
  3. Step 3: Cross multiply
    35,058.20x = 52,601.70 × 12,882.20
  4. Step 4: Simplify right side
    35,058.20x = 677,625,619.74
  5. Step 5: Solve for x
    x = 677,625,619.74/35,058.20
  6. Step 6: Final answer
    x = 19,328.59

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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.