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Finding the Fourth Proportional to 71,715.38, 98,965.82 and 39,883.60

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Solution

The fourth proportional to 71,715.38, 98,965.82 and 39,883.60 is: 55,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,715.38 : 98,965.82 = 39,883.60 : x
  2. Step 2: Convert to fraction form
    71,715.38/98,965.82 = 39,883.60/x
  3. Step 3: Cross multiply
    71,715.38x = 98,965.82 × 39,883.60
  4. Step 4: Simplify right side
    71,715.38x = 3,947,113,030.85
  5. Step 5: Solve for x
    x = 3,947,113,030.85/71,715.38
  6. Step 6: Final answer
    x = 55,038.58

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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.