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Finding the Fourth Proportional to 32,137.81, 48,209 and 9,948.32

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Solution

The fourth proportional to 32,137.81, 48,209 and 9,948.32 is: 14,923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,137.81 : 48,209 = 9,948.32 : x
  2. Step 2: Convert to fraction form
    32,137.81/48,209 = 9,948.32/x
  3. Step 3: Cross multiply
    32,137.81x = 48,209 × 9,948.32
  4. Step 4: Simplify right side
    32,137.81x = 479,598,558.88
  5. Step 5: Solve for x
    x = 479,598,558.88/32,137.81
  6. Step 6: Final answer
    x = 14,923.19

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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.