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Finding the Fourth Proportional to 81,733.68, 122,393.16 and 65,283.12

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Solution

The fourth proportional to 81,733.68, 122,393.16 and 65,283.12 is: 97,759.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,733.68 : 122,393.16 = 65,283.12 : x
  2. Step 2: Convert to fraction form
    81,733.68/122,393.16 = 65,283.12/x
  3. Step 3: Cross multiply
    81,733.68x = 122,393.16 × 65,283.12
  4. Step 4: Simplify right side
    81,733.68x = 7,990,207,351.46
  5. Step 5: Solve for x
    x = 7,990,207,351.46/81,733.68
  6. Step 6: Final answer
    x = 97,759.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.