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Finding the Fourth Proportional to 85,775.83, 118,375.38 and 47,534.58

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Solution

The fourth proportional to 85,775.83, 118,375.38 and 47,534.58 is: 65,600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,775.83 : 118,375.38 = 47,534.58 : x
  2. Step 2: Convert to fraction form
    85,775.83/118,375.38 = 47,534.58/x
  3. Step 3: Cross multiply
    85,775.83x = 118,375.38 × 47,534.58
  4. Step 4: Simplify right side
    85,775.83x = 5,626,923,970.64
  5. Step 5: Solve for x
    x = 5,626,923,970.64/85,775.83
  6. Step 6: Final answer
    x = 65,600.35

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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.