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Finding the Fourth Proportional to 83,824.78, 115,675.88 and 46,099.03

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Solution

The fourth proportional to 83,824.78, 115,675.88 and 46,099.03 is: 63,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,824.78 : 115,675.88 = 46,099.03 : x
  2. Step 2: Convert to fraction form
    83,824.78/115,675.88 = 46,099.03/x
  3. Step 3: Cross multiply
    83,824.78x = 115,675.88 × 46,099.03
  4. Step 4: Simplify right side
    83,824.78x = 5,332,545,862.40
  5. Step 5: Solve for x
    x = 5,332,545,862.40/83,824.78
  6. Step 6: Final answer
    x = 63,615.39

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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.