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Finding the Fourth Proportional to 29,538.30, 44,294.50 and 11,057.34

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Solution

The fourth proportional to 29,538.30, 44,294.50 and 11,057.34 is: 16,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538.30 : 44,294.50 = 11,057.34 : x
  2. Step 2: Convert to fraction form
    29,538.30/44,294.50 = 11,057.34/x
  3. Step 3: Cross multiply
    29,538.30x = 44,294.50 × 11,057.34
  4. Step 4: Simplify right side
    29,538.30x = 489,779,464.36
  5. Step 5: Solve for x
    x = 489,779,464.36/29,538.30
  6. Step 6: Final answer
    x = 16,581.16

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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.