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Finding the Fourth Proportional to 32,024.24, 44,197.90 and 17,878

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Solution

The fourth proportional to 32,024.24, 44,197.90 and 17,878 is: 24,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024.24 : 44,197.90 = 17,878 : x
  2. Step 2: Convert to fraction form
    32,024.24/44,197.90 = 17,878/x
  3. Step 3: Cross multiply
    32,024.24x = 44,197.90 × 17,878
  4. Step 4: Simplify right side
    32,024.24x = 790,170,056.20
  5. Step 5: Solve for x
    x = 790,170,056.20/32,024.24
  6. Step 6: Final answer
    x = 24,674.12

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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.