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Finding the Fourth Proportional to 81,995.34, 122,993.10 and 22,831.14

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Solution

The fourth proportional to 81,995.34, 122,993.10 and 22,831.14 is: 34,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,995.34 : 122,993.10 = 22,831.14 : x
  2. Step 2: Convert to fraction form
    81,995.34/122,993.10 = 22,831.14/x
  3. Step 3: Cross multiply
    81,995.34x = 122,993.10 × 22,831.14
  4. Step 4: Simplify right side
    81,995.34x = 2,808,072,685.13
  5. Step 5: Solve for x
    x = 2,808,072,685.13/81,995.34
  6. Step 6: Final answer
    x = 34,246.74

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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.