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Finding the Fourth Proportional to 83,407, 115,101.66 and 45,682.60

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Solution

The fourth proportional to 83,407, 115,101.66 and 45,682.60 is: 63,041.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,407 : 115,101.66 = 45,682.60 : x
  2. Step 2: Convert to fraction form
    83,407/115,101.66 = 45,682.60/x
  3. Step 3: Cross multiply
    83,407x = 115,101.66 × 45,682.60
  4. Step 4: Simplify right side
    83,407x = 5,258,143,093.12
  5. Step 5: Solve for x
    x = 5,258,143,093.12/83,407
  6. Step 6: Final answer
    x = 63,041.99

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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.