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Finding the Fourth Proportional to 83,772.62, 115,606.60 and 46,049.30

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Solution

The fourth proportional to 83,772.62, 115,606.60 and 46,049.30 is: 63,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,772.62 : 115,606.60 = 46,049.30 : x
  2. Step 2: Convert to fraction form
    83,772.62/115,606.60 = 46,049.30/x
  3. Step 3: Cross multiply
    83,772.62x = 115,606.60 × 46,049.30
  4. Step 4: Simplify right side
    83,772.62x = 5,323,603,005.38
  5. Step 5: Solve for x
    x = 5,323,603,005.38/83,772.62
  6. Step 6: Final answer
    x = 63,548.25

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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.