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Finding the Fourth Proportional to 54,358.41, 75,015.41 and 31,696.77

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Solution

The fourth proportional to 54,358.41, 75,015.41 and 31,696.77 is: 43,742.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,358.41 : 75,015.41 = 31,696.77 : x
  2. Step 2: Convert to fraction form
    54,358.41/75,015.41 = 31,696.77/x
  3. Step 3: Cross multiply
    54,358.41x = 75,015.41 × 31,696.77
  4. Step 4: Simplify right side
    54,358.41x = 2,377,746,197.23
  5. Step 5: Solve for x
    x = 2,377,746,197.23/54,358.41
  6. Step 6: Final answer
    x = 43,742.01

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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.