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Finding the Fourth Proportional to 32,178.52, 48,269.94 and 8,805.16

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Solution

The fourth proportional to 32,178.52, 48,269.94 and 8,805.16 is: 13,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,178.52 : 48,269.94 = 8,805.16 : x
  2. Step 2: Convert to fraction form
    32,178.52/48,269.94 = 8,805.16/x
  3. Step 3: Cross multiply
    32,178.52x = 48,269.94 × 8,805.16
  4. Step 4: Simplify right side
    32,178.52x = 425,024,544.89
  5. Step 5: Solve for x
    x = 425,024,544.89/32,178.52
  6. Step 6: Final answer
    x = 13,208.33

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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.