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Finding the Fourth Proportional to 32,188.56, 48,280.96 and 8,813.28

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Solution

The fourth proportional to 32,188.56, 48,280.96 and 8,813.28 is: 13,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,188.56 : 48,280.96 = 8,813.28 : x
  2. Step 2: Convert to fraction form
    32,188.56/48,280.96 = 8,813.28/x
  3. Step 3: Cross multiply
    32,188.56x = 48,280.96 × 8,813.28
  4. Step 4: Simplify right side
    32,188.56x = 425,513,619.15
  5. Step 5: Solve for x
    x = 425,513,619.15/32,188.56
  6. Step 6: Final answer
    x = 13,219.41

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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.