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Finding the Fourth Proportional to 32,420.12, 48,632.90 and 9,046.84

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Solution

The fourth proportional to 32,420.12, 48,632.90 and 9,046.84 is: 13,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420.12 : 48,632.90 = 9,046.84 : x
  2. Step 2: Convert to fraction form
    32,420.12/48,632.90 = 9,046.84/x
  3. Step 3: Cross multiply
    32,420.12x = 48,632.90 × 9,046.84
  4. Step 4: Simplify right side
    32,420.12x = 439,974,065.04
  5. Step 5: Solve for x
    x = 439,974,065.04/32,420.12
  6. Step 6: Final answer
    x = 13,571.02

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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.