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Finding the Fourth Proportional to 29,838.75, 41,178.48 and 16,410.57

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Solution

The fourth proportional to 29,838.75, 41,178.48 and 16,410.57 is: 22,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.75 : 41,178.48 = 16,410.57 : x
  2. Step 2: Convert to fraction form
    29,838.75/41,178.48 = 16,410.57/x
  3. Step 3: Cross multiply
    29,838.75x = 41,178.48 × 16,410.57
  4. Step 4: Simplify right side
    29,838.75x = 675,762,328.53
  5. Step 5: Solve for x
    x = 675,762,328.53/29,838.75
  6. Step 6: Final answer
    x = 22,647.14

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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.