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Finding the Fourth Proportional to 85,823.33, 118,448.46 and 47,591.38

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Solution

The fourth proportional to 85,823.33, 118,448.46 and 47,591.38 is: 65,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,823.33 : 118,448.46 = 47,591.38 : x
  2. Step 2: Convert to fraction form
    85,823.33/118,448.46 = 47,591.38/x
  3. Step 3: Cross multiply
    85,823.33x = 118,448.46 × 47,591.38
  4. Step 4: Simplify right side
    85,823.33x = 5,637,125,639.87
  5. Step 5: Solve for x
    x = 5,637,125,639.87/85,823.33
  6. Step 6: Final answer
    x = 65,682.91

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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.