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Finding the Fourth Proportional to 54,424.32, 81,666.72 and 29,464

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Solution

The fourth proportional to 54,424.32, 81,666.72 and 29,464 is: 44,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,424.32 : 81,666.72 = 29,464 : x
  2. Step 2: Convert to fraction form
    54,424.32/81,666.72 = 29,464/x
  3. Step 3: Cross multiply
    54,424.32x = 81,666.72 × 29,464
  4. Step 4: Simplify right side
    54,424.32x = 2,406,228,238.08
  5. Step 5: Solve for x
    x = 2,406,228,238.08/54,424.32
  6. Step 6: Final answer
    x = 44,212.37

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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.