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Finding the Fourth Proportional to 29,468.32, 44,203.94 and 8,411.47

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Solution

The fourth proportional to 29,468.32, 44,203.94 and 8,411.47 is: 12,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,468.32 : 44,203.94 = 8,411.47 : x
  2. Step 2: Convert to fraction form
    29,468.32/44,203.94 = 8,411.47/x
  3. Step 3: Cross multiply
    29,468.32x = 44,203.94 × 8,411.47
  4. Step 4: Simplify right side
    29,468.32x = 371,820,115.19
  5. Step 5: Solve for x
    x = 371,820,115.19/29,468.32
  6. Step 6: Final answer
    x = 12,617.62

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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.