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Finding the Fourth Proportional to 83,569.80, 115,336.53 and 47,751.60

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Solution

The fourth proportional to 83,569.80, 115,336.53 and 47,751.60 is: 65,903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,569.80 : 115,336.53 = 47,751.60 : x
  2. Step 2: Convert to fraction form
    83,569.80/115,336.53 = 47,751.60/x
  3. Step 3: Cross multiply
    83,569.80x = 115,336.53 × 47,751.60
  4. Step 4: Simplify right side
    83,569.80x = 5,507,503,845.95
  5. Step 5: Solve for x
    x = 5,507,503,845.95/83,569.80
  6. Step 6: Final answer
    x = 65,903.04

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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.