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Finding the Fourth Proportional to 31,652.16, 43,678.13 and 17,504.07

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Solution

The fourth proportional to 31,652.16, 43,678.13 and 17,504.07 is: 24,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652.16 : 43,678.13 = 17,504.07 : x
  2. Step 2: Convert to fraction form
    31,652.16/43,678.13 = 17,504.07/x
  3. Step 3: Cross multiply
    31,652.16x = 43,678.13 × 17,504.07
  4. Step 4: Simplify right side
    31,652.16x = 764,544,957.47
  5. Step 5: Solve for x
    x = 764,544,957.47/31,652.16
  6. Step 6: Final answer
    x = 24,154.59

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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.