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Finding the Fourth Proportional to 29,385.50, 44,078.16 and 10,665.51

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Solution

The fourth proportional to 29,385.50, 44,078.16 and 10,665.51 is: 15,998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,385.50 : 44,078.16 = 10,665.51 : x
  2. Step 2: Convert to fraction form
    29,385.50/44,078.16 = 10,665.51/x
  3. Step 3: Cross multiply
    29,385.50x = 44,078.16 × 10,665.51
  4. Step 4: Simplify right side
    29,385.50x = 470,116,056.26
  5. Step 5: Solve for x
    x = 470,116,056.26/29,385.50
  6. Step 6: Final answer
    x = 15,998.23

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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.