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Finding the Fourth Proportional to 31,152.33, 42,989.67 and 17,723.30

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Solution

The fourth proportional to 31,152.33, 42,989.67 and 17,723.30 is: 24,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152.33 : 42,989.67 = 17,723.30 : x
  2. Step 2: Convert to fraction form
    31,152.33/42,989.67 = 17,723.30/x
  3. Step 3: Cross multiply
    31,152.33x = 42,989.67 × 17,723.30
  4. Step 4: Simplify right side
    31,152.33x = 761,918,833.64
  5. Step 5: Solve for x
    x = 761,918,833.64/31,152.33
  6. Step 6: Final answer
    x = 24,457.84

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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.