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Finding the Fourth Proportional to 101,706.16, 152,569.49 and 26,831.48

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Solution

The fourth proportional to 101,706.16, 152,569.49 and 26,831.48 is: 40,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,706.16 : 152,569.49 = 26,831.48 : x
  2. Step 2: Convert to fraction form
    101,706.16/152,569.49 = 26,831.48/x
  3. Step 3: Cross multiply
    101,706.16x = 152,569.49 × 26,831.48
  4. Step 4: Simplify right side
    101,706.16x = 4,093,665,668.05
  5. Step 5: Solve for x
    x = 4,093,665,668.05/101,706.16
  6. Step 6: Final answer
    x = 40,249.93

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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.