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Finding the Fourth Proportional to 29,106, 40,169.52 and 17,928

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Solution

The fourth proportional to 29,106, 40,169.52 and 17,928 is: 24,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,106 : 40,169.52 = 17,928 : x
  2. Step 2: Convert to fraction form
    29,106/40,169.52 = 17,928/x
  3. Step 3: Cross multiply
    29,106x = 40,169.52 × 17,928
  4. Step 4: Simplify right side
    29,106x = 720,159,154.56
  5. Step 5: Solve for x
    x = 720,159,154.56/29,106
  6. Step 6: Final answer
    x = 24,742.64

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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.