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Finding the Fourth Proportional to 57,020.72, 78,686.10 and 31,178.81

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Solution

The fourth proportional to 57,020.72, 78,686.10 and 31,178.81 is: 43,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,020.72 : 78,686.10 = 31,178.81 : x
  2. Step 2: Convert to fraction form
    57,020.72/78,686.10 = 31,178.81/x
  3. Step 3: Cross multiply
    57,020.72x = 78,686.10 × 31,178.81
  4. Step 4: Simplify right side
    57,020.72x = 2,453,338,568.11
  5. Step 5: Solve for x
    x = 2,453,338,568.11/57,020.72
  6. Step 6: Final answer
    x = 43,025.39

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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.