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Finding the Fourth Proportional to 83,752.49, 115,531.65 and 51,464.67

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Solution

The fourth proportional to 83,752.49, 115,531.65 and 51,464.67 is: 70,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,752.49 : 115,531.65 = 51,464.67 : x
  2. Step 2: Convert to fraction form
    83,752.49/115,531.65 = 51,464.67/x
  3. Step 3: Cross multiply
    83,752.49x = 115,531.65 × 51,464.67
  4. Step 4: Simplify right side
    83,752.49x = 5,945,798,401.97
  5. Step 5: Solve for x
    x = 5,945,798,401.97/83,752.49
  6. Step 6: Final answer
    x = 70,992.50

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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.