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Finding the Fourth Proportional to 83,319.84, 114,978.52 and 47,521.38

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Solution

The fourth proportional to 83,319.84, 114,978.52 and 47,521.38 is: 65,577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,319.84 : 114,978.52 = 47,521.38 : x
  2. Step 2: Convert to fraction form
    83,319.84/114,978.52 = 47,521.38/x
  3. Step 3: Cross multiply
    83,319.84x = 114,978.52 × 47,521.38
  4. Step 4: Simplify right side
    83,319.84x = 5,463,938,431.33
  5. Step 5: Solve for x
    x = 5,463,938,431.33/83,319.84
  6. Step 6: Final answer
    x = 65,577.88

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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.