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Finding the Fourth Proportional to 29,591.87, 44,387.40 and 7,405.16

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Solution

The fourth proportional to 29,591.87, 44,387.40 and 7,405.16 is: 11,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,591.87 : 44,387.40 = 7,405.16 : x
  2. Step 2: Convert to fraction form
    29,591.87/44,387.40 = 7,405.16/x
  3. Step 3: Cross multiply
    29,591.87x = 44,387.40 × 7,405.16
  4. Step 4: Simplify right side
    29,591.87x = 328,695,798.98
  5. Step 5: Solve for x
    x = 328,695,798.98/29,591.87
  6. Step 6: Final answer
    x = 11,107.64

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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.