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Finding the Fourth Proportional to 32,186.70, 48,280.05 and 8,813.10

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Solution

The fourth proportional to 32,186.70, 48,280.05 and 8,813.10 is: 13,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,186.70 : 48,280.05 = 8,813.10 : x
  2. Step 2: Convert to fraction form
    32,186.70/48,280.05 = 8,813.10/x
  3. Step 3: Cross multiply
    32,186.70x = 48,280.05 × 8,813.10
  4. Step 4: Simplify right side
    32,186.70x = 425,496,908.66
  5. Step 5: Solve for x
    x = 425,496,908.66/32,186.70
  6. Step 6: Final answer
    x = 13,219.65

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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.