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Finding the Fourth Proportional to 30,313.32, 41,831.28 and 17,737.80

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Solution

The fourth proportional to 30,313.32, 41,831.28 and 17,737.80 is: 24,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,313.32 : 41,831.28 = 17,737.80 : x
  2. Step 2: Convert to fraction form
    30,313.32/41,831.28 = 17,737.80/x
  3. Step 3: Cross multiply
    30,313.32x = 41,831.28 × 17,737.80
  4. Step 4: Simplify right side
    30,313.32x = 741,994,878.38
  5. Step 5: Solve for x
    x = 741,994,878.38/30,313.32
  6. Step 6: Final answer
    x = 24,477.52

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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.