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Finding the Fourth Proportional to 30,580.20, 45,861.84 and 10,856.16

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Solution

The fourth proportional to 30,580.20, 45,861.84 and 10,856.16 is: 16,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580.20 : 45,861.84 = 10,856.16 : x
  2. Step 2: Convert to fraction form
    30,580.20/45,861.84 = 10,856.16/x
  3. Step 3: Cross multiply
    30,580.20x = 45,861.84 × 10,856.16
  4. Step 4: Simplify right side
    30,580.20x = 497,883,472.93
  5. Step 5: Solve for x
    x = 497,883,472.93/30,580.20
  6. Step 6: Final answer
    x = 16,281.24

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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.