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Finding the Fourth Proportional to 57,660, 79,570.80 and 31,164

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Solution

The fourth proportional to 57,660, 79,570.80 and 31,164 is: 43,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,660 : 79,570.80 = 31,164 : x
  2. Step 2: Convert to fraction form
    57,660/79,570.80 = 31,164/x
  3. Step 3: Cross multiply
    57,660x = 79,570.80 × 31,164
  4. Step 4: Simplify right side
    57,660x = 2,479,744,411.20
  5. Step 5: Solve for x
    x = 2,479,744,411.20/57,660
  6. Step 6: Final answer
    x = 43,006.32

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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.