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Finding the Fourth Proportional to 32,151.56, 48,218 and 9,661.32

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Solution

The fourth proportional to 32,151.56, 48,218 and 9,661.32 is: 14,489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,151.56 : 48,218 = 9,661.32 : x
  2. Step 2: Convert to fraction form
    32,151.56/48,218 = 9,661.32/x
  3. Step 3: Cross multiply
    32,151.56x = 48,218 × 9,661.32
  4. Step 4: Simplify right side
    32,151.56x = 465,849,527.76
  5. Step 5: Solve for x
    x = 465,849,527.76/32,151.56
  6. Step 6: Final answer
    x = 14,489.17

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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.