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Finding the Fourth Proportional to 29,665.76, 44,498.60 and 9,944.34

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Solution

The fourth proportional to 29,665.76, 44,498.60 and 9,944.34 is: 14,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,665.76 : 44,498.60 = 9,944.34 : x
  2. Step 2: Convert to fraction form
    29,665.76/44,498.60 = 9,944.34/x
  3. Step 3: Cross multiply
    29,665.76x = 44,498.60 × 9,944.34
  4. Step 4: Simplify right side
    29,665.76x = 442,509,207.92
  5. Step 5: Solve for x
    x = 442,509,207.92/29,665.76
  6. Step 6: Final answer
    x = 14,916.50

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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.