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Finding the Fourth Proportional to 32,122.98, 48,191.54 and 9,632.75

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Solution

The fourth proportional to 32,122.98, 48,191.54 and 9,632.75 is: 14,451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,122.98 : 48,191.54 = 9,632.75 : x
  2. Step 2: Convert to fraction form
    32,122.98/48,191.54 = 9,632.75/x
  3. Step 3: Cross multiply
    32,122.98x = 48,191.54 × 9,632.75
  4. Step 4: Simplify right side
    32,122.98x = 464,216,767.81
  5. Step 5: Solve for x
    x = 464,216,767.81/32,122.98
  6. Step 6: Final answer
    x = 14,451.24

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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.