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Finding the Fourth Proportional to 53,959.64, 74,464.38 and 31,302.92

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Solution

The fourth proportional to 53,959.64, 74,464.38 and 31,302.92 is: 43,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,959.64 : 74,464.38 = 31,302.92 : x
  2. Step 2: Convert to fraction form
    53,959.64/74,464.38 = 31,302.92/x
  3. Step 3: Cross multiply
    53,959.64x = 74,464.38 × 31,302.92
  4. Step 4: Simplify right side
    53,959.64x = 2,330,952,529.99
  5. Step 5: Solve for x
    x = 2,330,952,529.99/53,959.64
  6. Step 6: Final answer
    x = 43,198.07

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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.