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Finding the Fourth Proportional to 29,345.88, 44,019 and 7,159.44

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Solution

The fourth proportional to 29,345.88, 44,019 and 7,159.44 is: 10,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,345.88 : 44,019 = 7,159.44 : x
  2. Step 2: Convert to fraction form
    29,345.88/44,019 = 7,159.44/x
  3. Step 3: Cross multiply
    29,345.88x = 44,019 × 7,159.44
  4. Step 4: Simplify right side
    29,345.88x = 315,151,389.36
  5. Step 5: Solve for x
    x = 315,151,389.36/29,345.88
  6. Step 6: Final answer
    x = 10,739.20

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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.