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Finding the Fourth Proportional to 57,309.52, 79,085.84 and 31,814.38

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Solution

The fourth proportional to 57,309.52, 79,085.84 and 31,814.38 is: 43,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,309.52 : 79,085.84 = 31,814.38 : x
  2. Step 2: Convert to fraction form
    57,309.52/79,085.84 = 31,814.38/x
  3. Step 3: Cross multiply
    57,309.52x = 79,085.84 × 31,814.38
  4. Step 4: Simplify right side
    57,309.52x = 2,516,066,966.38
  5. Step 5: Solve for x
    x = 2,516,066,966.38/57,309.52
  6. Step 6: Final answer
    x = 43,903.12

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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.