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Finding the Fourth Proportional to 85,924.50, 118,575.54 and 47,689.81

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Solution

The fourth proportional to 85,924.50, 118,575.54 and 47,689.81 is: 65,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,924.50 : 118,575.54 = 47,689.81 : x
  2. Step 2: Convert to fraction form
    85,924.50/118,575.54 = 47,689.81/x
  3. Step 3: Cross multiply
    85,924.50x = 118,575.54 × 47,689.81
  4. Step 4: Simplify right side
    85,924.50x = 5,654,844,973.25
  5. Step 5: Solve for x
    x = 5,654,844,973.25/85,924.50
  6. Step 6: Final answer
    x = 65,811.79

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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.