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Finding the Fourth Proportional to 32,659.49, 48,997.46 and 9,285.92

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Solution

The fourth proportional to 32,659.49, 48,997.46 and 9,285.92 is: 13,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,659.49 : 48,997.46 = 9,285.92 : x
  2. Step 2: Convert to fraction form
    32,659.49/48,997.46 = 9,285.92/x
  3. Step 3: Cross multiply
    32,659.49x = 48,997.46 × 9,285.92
  4. Step 4: Simplify right side
    32,659.49x = 454,986,631.07
  5. Step 5: Solve for x
    x = 454,986,631.07/32,659.49
  6. Step 6: Final answer
    x = 13,931.22

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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.