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Finding the Fourth Proportional to 30,386.32, 45,579.48 and 8,199.69

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Solution

The fourth proportional to 30,386.32, 45,579.48 and 8,199.69 is: 12,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,386.32 : 45,579.48 = 8,199.69 : x
  2. Step 2: Convert to fraction form
    30,386.32/45,579.48 = 8,199.69/x
  3. Step 3: Cross multiply
    30,386.32x = 45,579.48 × 8,199.69
  4. Step 4: Simplify right side
    30,386.32x = 373,737,565.36
  5. Step 5: Solve for x
    x = 373,737,565.36/30,386.32
  6. Step 6: Final answer
    x = 12,299.54

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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.