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Finding the Fourth Proportional to 57,297.94, 79,069.92 and 31,802.81

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Solution

The fourth proportional to 57,297.94, 79,069.92 and 31,802.81 is: 43,887.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,297.94 : 79,069.92 = 31,802.81 : x
  2. Step 2: Convert to fraction form
    57,297.94/79,069.92 = 31,802.81/x
  3. Step 3: Cross multiply
    57,297.94x = 79,069.92 × 31,802.81
  4. Step 4: Simplify right side
    57,297.94x = 2,514,645,642.48
  5. Step 5: Solve for x
    x = 2,514,645,642.48/57,297.94
  6. Step 6: Final answer
    x = 43,887.19

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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.