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Finding the Fourth Proportional to 32,210.16, 48,260.52 and 15,578

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Solution

The fourth proportional to 32,210.16, 48,260.52 and 15,578 is: 23,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,210.16 : 48,260.52 = 15,578 : x
  2. Step 2: Convert to fraction form
    32,210.16/48,260.52 = 15,578/x
  3. Step 3: Cross multiply
    32,210.16x = 48,260.52 × 15,578
  4. Step 4: Simplify right side
    32,210.16x = 751,802,380.56
  5. Step 5: Solve for x
    x = 751,802,380.56/32,210.16
  6. Step 6: Final answer
    x = 23,340.54

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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.