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Finding the Fourth Proportional to 77,323.38, 106,696.29 and 45,480.66

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Solution

The fourth proportional to 77,323.38, 106,696.29 and 45,480.66 is: 62,757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,323.38 : 106,696.29 = 45,480.66 : x
  2. Step 2: Convert to fraction form
    77,323.38/106,696.29 = 45,480.66/x
  3. Step 3: Cross multiply
    77,323.38x = 106,696.29 × 45,480.66
  4. Step 4: Simplify right side
    77,323.38x = 4,852,617,688.75
  5. Step 5: Solve for x
    x = 4,852,617,688.75/77,323.38
  6. Step 6: Final answer
    x = 62,757.44

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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.