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Finding the Fourth Proportional to 29,709.58, 44,562.92 and 7,523.35

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Solution

The fourth proportional to 29,709.58, 44,562.92 and 7,523.35 is: 11,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709.58 : 44,562.92 = 7,523.35 : x
  2. Step 2: Convert to fraction form
    29,709.58/44,562.92 = 7,523.35/x
  3. Step 3: Cross multiply
    29,709.58x = 44,562.92 × 7,523.35
  4. Step 4: Simplify right side
    29,709.58x = 335,262,444.18
  5. Step 5: Solve for x
    x = 335,262,444.18/29,709.58
  6. Step 6: Final answer
    x = 11,284.66

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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.