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Finding the Fourth Proportional to 115,894.32, 159,929.82 and 65,593.32

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Solution

The fourth proportional to 115,894.32, 159,929.82 and 65,593.32 is: 90,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,894.32 : 159,929.82 = 65,593.32 : x
  2. Step 2: Convert to fraction form
    115,894.32/159,929.82 = 65,593.32/x
  3. Step 3: Cross multiply
    115,894.32x = 159,929.82 × 65,593.32
  4. Step 4: Simplify right side
    115,894.32x = 10,490,327,860.80
  5. Step 5: Solve for x
    x = 10,490,327,860.80/115,894.32
  6. Step 6: Final answer
    x = 90,516.32

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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.