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Finding the Fourth Proportional to 29,384.39, 44,078.00 and 9,662.51

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Solution

The fourth proportional to 29,384.39, 44,078.00 and 9,662.51 is: 14,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,384.39 : 44,078.00 = 9,662.51 : x
  2. Step 2: Convert to fraction form
    29,384.39/44,078.00 = 9,662.51/x
  3. Step 3: Cross multiply
    29,384.39x = 44,078.00 × 9,662.51
  4. Step 4: Simplify right side
    29,384.39x = 425,903,847.08
  5. Step 5: Solve for x
    x = 425,903,847.08/29,384.39
  6. Step 6: Final answer
    x = 14,494.22

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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.