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Finding the Fourth Proportional to 29,838.48, 41,178.12 and 16,410.72

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Solution

The fourth proportional to 29,838.48, 41,178.12 and 16,410.72 is: 22,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.48 : 41,178.12 = 16,410.72 : x
  2. Step 2: Convert to fraction form
    29,838.48/41,178.12 = 16,410.72/x
  3. Step 3: Cross multiply
    29,838.48x = 41,178.12 × 16,410.72
  4. Step 4: Simplify right side
    29,838.48x = 675,762,597.45
  5. Step 5: Solve for x
    x = 675,762,597.45/29,838.48
  6. Step 6: Final answer
    x = 22,647.35

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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.