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Finding the Fourth Proportional to 30,829.32, 46,244.10 and 7,455.78

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Solution

The fourth proportional to 30,829.32, 46,244.10 and 7,455.78 is: 11,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.32 : 46,244.10 = 7,455.78 : x
  2. Step 2: Convert to fraction form
    30,829.32/46,244.10 = 7,455.78/x
  3. Step 3: Cross multiply
    30,829.32x = 46,244.10 × 7,455.78
  4. Step 4: Simplify right side
    30,829.32x = 344,785,835.90
  5. Step 5: Solve for x
    x = 344,785,835.90/30,829.32
  6. Step 6: Final answer
    x = 11,183.70

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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.