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Finding the Fourth Proportional to 29,249.48, 43,874.12 and 9,528

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Solution

The fourth proportional to 29,249.48, 43,874.12 and 9,528 is: 14,291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,249.48 : 43,874.12 = 9,528 : x
  2. Step 2: Convert to fraction form
    29,249.48/43,874.12 = 9,528/x
  3. Step 3: Cross multiply
    29,249.48x = 43,874.12 × 9,528
  4. Step 4: Simplify right side
    29,249.48x = 418,032,615.36
  5. Step 5: Solve for x
    x = 418,032,615.36/29,249.48
  6. Step 6: Final answer
    x = 14,291.97

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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.