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Finding the Fourth Proportional to 29,071.16, 40,112.74 and 17,138.24

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Solution

The fourth proportional to 29,071.16, 40,112.74 and 17,138.24 is: 23,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,071.16 : 40,112.74 = 17,138.24 : x
  2. Step 2: Convert to fraction form
    29,071.16/40,112.74 = 17,138.24/x
  3. Step 3: Cross multiply
    29,071.16x = 40,112.74 × 17,138.24
  4. Step 4: Simplify right side
    29,071.16x = 687,461,765.18
  5. Step 5: Solve for x
    x = 687,461,765.18/29,071.16
  6. Step 6: Final answer
    x = 23,647.55

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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.