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Finding the Fourth Proportional to 51,703.56, 71,349 and 31,594.08

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Solution

The fourth proportional to 51,703.56, 71,349 and 31,594.08 is: 43,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,703.56 : 71,349 = 31,594.08 : x
  2. Step 2: Convert to fraction form
    51,703.56/71,349 = 31,594.08/x
  3. Step 3: Cross multiply
    51,703.56x = 71,349 × 31,594.08
  4. Step 4: Simplify right side
    51,703.56x = 2,254,206,013.92
  5. Step 5: Solve for x
    x = 2,254,206,013.92/51,703.56
  6. Step 6: Final answer
    x = 43,598.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.