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Finding the Fourth Proportional to 30,562.24, 45,843.38 and 9,785.76

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Solution

The fourth proportional to 30,562.24, 45,843.38 and 9,785.76 is: 14,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,562.24 : 45,843.38 = 9,785.76 : x
  2. Step 2: Convert to fraction form
    30,562.24/45,843.38 = 9,785.76/x
  3. Step 3: Cross multiply
    30,562.24x = 45,843.38 × 9,785.76
  4. Step 4: Simplify right side
    30,562.24x = 448,612,314.27
  5. Step 5: Solve for x
    x = 448,612,314.27/30,562.24
  6. Step 6: Final answer
    x = 14,678.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.