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Finding the Fourth Proportional to 31,572, 43,530.48 and 25,899.84

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Solution

The fourth proportional to 31,572, 43,530.48 and 25,899.84 is: 35,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,572 : 43,530.48 = 25,899.84 : x
  2. Step 2: Convert to fraction form
    31,572/43,530.48 = 25,899.84/x
  3. Step 3: Cross multiply
    31,572x = 43,530.48 × 25,899.84
  4. Step 4: Simplify right side
    31,572x = 1,127,432,467.12
  5. Step 5: Solve for x
    x = 1,127,432,467.12/31,572
  6. Step 6: Final answer
    x = 35,709.88

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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.