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Finding the Fourth Proportional to 83,632, 115,412.22 and 45,908.68

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Solution

The fourth proportional to 83,632, 115,412.22 and 45,908.68 is: 63,354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,632 : 115,412.22 = 45,908.68 : x
  2. Step 2: Convert to fraction form
    83,632/115,412.22 = 45,908.68/x
  3. Step 3: Cross multiply
    83,632x = 115,412.22 × 45,908.68
  4. Step 4: Simplify right side
    83,632x = 5,298,422,676.07
  5. Step 5: Solve for x
    x = 5,298,422,676.07/83,632
  6. Step 6: Final answer
    x = 63,354.01

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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.