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Finding the Fourth Proportional to 31,322.30, 43,223.63 and 17,174.84

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Solution

The fourth proportional to 31,322.30, 43,223.63 and 17,174.84 is: 23,700.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,322.30 : 43,223.63 = 17,174.84 : x
  2. Step 2: Convert to fraction form
    31,322.30/43,223.63 = 17,174.84/x
  3. Step 3: Cross multiply
    31,322.30x = 43,223.63 × 17,174.84
  4. Step 4: Simplify right side
    31,322.30x = 742,358,627.48
  5. Step 5: Solve for x
    x = 742,358,627.48/31,322.30
  6. Step 6: Final answer
    x = 23,700.65

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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.