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Finding the Fourth Proportional to 83,932, 115,792.90 and 58,431.56

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Solution

The fourth proportional to 83,932, 115,792.90 and 58,431.56 is: 80,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,932 : 115,792.90 = 58,431.56 : x
  2. Step 2: Convert to fraction form
    83,932/115,792.90 = 58,431.56/x
  3. Step 3: Cross multiply
    83,932x = 115,792.90 × 58,431.56
  4. Step 4: Simplify right side
    83,932x = 6,765,959,783.92
  5. Step 5: Solve for x
    x = 6,765,959,783.92/83,932
  6. Step 6: Final answer
    x = 80,612.40

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1.5x scale

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.