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Finding the Fourth Proportional to 109,882.38, 164,831.76 and 46,695.41

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Solution

The fourth proportional to 109,882.38, 164,831.76 and 46,695.41 is: 70,046.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,882.38 : 164,831.76 = 46,695.41 : x
  2. Step 2: Convert to fraction form
    109,882.38/164,831.76 = 46,695.41/x
  3. Step 3: Cross multiply
    109,882.38x = 164,831.76 × 46,695.41
  4. Step 4: Simplify right side
    109,882.38x = 7,696,885,790.06
  5. Step 5: Solve for x
    x = 7,696,885,790.06/109,882.38
  6. Step 6: Final answer
    x = 70,046.59

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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.