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Finding the Fourth Proportional to 40,771.34, 61,165.28 and 14,478.16

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Solution

The fourth proportional to 40,771.34, 61,165.28 and 14,478.16 is: 21,720.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,771.34 : 61,165.28 = 14,478.16 : x
  2. Step 2: Convert to fraction form
    40,771.34/61,165.28 = 14,478.16/x
  3. Step 3: Cross multiply
    40,771.34x = 61,165.28 × 14,478.16
  4. Step 4: Simplify right side
    40,771.34x = 885,560,710.28
  5. Step 5: Solve for x
    x = 885,560,710.28/40,771.34
  6. Step 6: Final answer
    x = 21,720.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.