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Finding the Fourth Proportional to 32,149.56, 48,215 and 9,659.32

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Solution

The fourth proportional to 32,149.56, 48,215 and 9,659.32 is: 14,486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,149.56 : 48,215 = 9,659.32 : x
  2. Step 2: Convert to fraction form
    32,149.56/48,215 = 9,659.32/x
  3. Step 3: Cross multiply
    32,149.56x = 48,215 × 9,659.32
  4. Step 4: Simplify right side
    32,149.56x = 465,724,113.80
  5. Step 5: Solve for x
    x = 465,724,113.80/32,149.56
  6. Step 6: Final answer
    x = 14,486.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.