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Finding the Fourth Proportional to 34,442.87, 51,664.57 and 9,484.29

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Solution

The fourth proportional to 34,442.87, 51,664.57 and 9,484.29 is: 14,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,442.87 : 51,664.57 = 9,484.29 : x
  2. Step 2: Convert to fraction form
    34,442.87/51,664.57 = 9,484.29/x
  3. Step 3: Cross multiply
    34,442.87x = 51,664.57 × 9,484.29
  4. Step 4: Simplify right side
    34,442.87x = 490,001,740.89
  5. Step 5: Solve for x
    x = 490,001,740.89/34,442.87
  6. Step 6: Final answer
    x = 14,226.51

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Why These Related Problems?

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