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Finding the Fourth Proportional to 83,899.13, 115,783.29 and 46,173.38

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Solution

The fourth proportional to 83,899.13, 115,783.29 and 46,173.38 is: 63,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,899.13 : 115,783.29 = 46,173.38 : x
  2. Step 2: Convert to fraction form
    83,899.13/115,783.29 = 46,173.38/x
  3. Step 3: Cross multiply
    83,899.13x = 115,783.29 × 46,173.38
  4. Step 4: Simplify right side
    83,899.13x = 5,346,105,267.90
  5. Step 5: Solve for x
    x = 5,346,105,267.90/83,899.13
  6. Step 6: Final answer
    x = 63,720.63

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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.