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Finding the Fourth Proportional to 101,705.91, 152,569.12 and 26,831.23

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Solution

The fourth proportional to 101,705.91, 152,569.12 and 26,831.23 is: 40,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,705.91 : 152,569.12 = 26,831.23 : x
  2. Step 2: Convert to fraction form
    101,705.91/152,569.12 = 26,831.23/x
  3. Step 3: Cross multiply
    101,705.91x = 152,569.12 × 26,831.23
  4. Step 4: Simplify right side
    101,705.91x = 4,093,617,015.46
  5. Step 5: Solve for x
    x = 4,093,617,015.46/101,705.91
  6. Step 6: Final answer
    x = 40,249.55

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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.