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Finding the Fourth Proportional to 29,748.72, 44,616.15 and 8,684.34

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Solution

The fourth proportional to 29,748.72, 44,616.15 and 8,684.34 is: 13,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,748.72 : 44,616.15 = 8,684.34 : x
  2. Step 2: Convert to fraction form
    29,748.72/44,616.15 = 8,684.34/x
  3. Step 3: Cross multiply
    29,748.72x = 44,616.15 × 8,684.34
  4. Step 4: Simplify right side
    29,748.72x = 387,461,816.09
  5. Step 5: Solve for x
    x = 387,461,816.09/29,748.72
  6. Step 6: Final answer
    x = 13,024.49

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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.