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Finding the Fourth Proportional to 83,443, 115,150.98 and 45,716.44

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Solution

The fourth proportional to 83,443, 115,150.98 and 45,716.44 is: 63,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,443 : 115,150.98 = 45,716.44 : x
  2. Step 2: Convert to fraction form
    83,443/115,150.98 = 45,716.44/x
  3. Step 3: Cross multiply
    83,443x = 115,150.98 × 45,716.44
  4. Step 4: Simplify right side
    83,443x = 5,264,292,868.11
  5. Step 5: Solve for x
    x = 5,264,292,868.11/83,443
  6. Step 6: Final answer
    x = 63,088.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.