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Finding the Fourth Proportional to 29,654.32, 44,494.50 and 11,182

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Solution

The fourth proportional to 29,654.32, 44,494.50 and 11,182 is: 16,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,654.32 : 44,494.50 = 11,182 : x
  2. Step 2: Convert to fraction form
    29,654.32/44,494.50 = 11,182/x
  3. Step 3: Cross multiply
    29,654.32x = 44,494.50 × 11,182
  4. Step 4: Simplify right side
    29,654.32x = 497,537,499
  5. Step 5: Solve for x
    x = 497,537,499/29,654.32
  6. Step 6: Final answer
    x = 16,777.91

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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.