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Finding the Fourth Proportional to 32,921.80, 49,394.22 and 9,549.64

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Solution

The fourth proportional to 32,921.80, 49,394.22 and 9,549.64 is: 14,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,921.80 : 49,394.22 = 9,549.64 : x
  2. Step 2: Convert to fraction form
    32,921.80/49,394.22 = 9,549.64/x
  3. Step 3: Cross multiply
    32,921.80x = 49,394.22 × 9,549.64
  4. Step 4: Simplify right side
    32,921.80x = 471,697,019.08
  5. Step 5: Solve for x
    x = 471,697,019.08/32,921.80
  6. Step 6: Final answer
    x = 14,327.80

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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.