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Finding the Fourth Proportional to 83,270.34, 114,908.85 and 51,442.02

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Solution

The fourth proportional to 83,270.34, 114,908.85 and 51,442.02 is: 70,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,270.34 : 114,908.85 = 51,442.02 : x
  2. Step 2: Convert to fraction form
    83,270.34/114,908.85 = 51,442.02/x
  3. Step 3: Cross multiply
    83,270.34x = 114,908.85 × 51,442.02
  4. Step 4: Simplify right side
    83,270.34x = 5,911,143,359.88
  5. Step 5: Solve for x
    x = 5,911,143,359.88/83,270.34
  6. Step 6: Final answer
    x = 70,987.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.