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Finding the Fourth Proportional to 34,781.57, 52,175.48 and 9,821.87

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Solution

The fourth proportional to 34,781.57, 52,175.48 and 9,821.87 is: 14,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,781.57 : 52,175.48 = 9,821.87 : x
  2. Step 2: Convert to fraction form
    34,781.57/52,175.48 = 9,821.87/x
  3. Step 3: Cross multiply
    34,781.57x = 52,175.48 × 9,821.87
  4. Step 4: Simplify right side
    34,781.57x = 512,460,781.75
  5. Step 5: Solve for x
    x = 512,460,781.75/34,781.57
  6. Step 6: Final answer
    x = 14,733.69

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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.