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Finding the Fourth Proportional to 29,531.82, 44,298.78 and 7,345.31

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Solution

The fourth proportional to 29,531.82, 44,298.78 and 7,345.31 is: 11,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,531.82 : 44,298.78 = 7,345.31 : x
  2. Step 2: Convert to fraction form
    29,531.82/44,298.78 = 7,345.31/x
  3. Step 3: Cross multiply
    29,531.82x = 44,298.78 × 7,345.31
  4. Step 4: Simplify right side
    29,531.82x = 325,388,235.00
  5. Step 5: Solve for x
    x = 325,388,235.00/29,531.82
  6. Step 6: Final answer
    x = 11,018.22

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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.