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Finding the Fourth Proportional to 32,665.84, 49,000.38 and 9,293.92

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Solution

The fourth proportional to 32,665.84, 49,000.38 and 9,293.92 is: 13,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,665.84 : 49,000.38 = 9,293.92 : x
  2. Step 2: Convert to fraction form
    32,665.84/49,000.38 = 9,293.92/x
  3. Step 3: Cross multiply
    32,665.84x = 49,000.38 × 9,293.92
  4. Step 4: Simplify right side
    32,665.84x = 455,405,611.69
  5. Step 5: Solve for x
    x = 455,405,611.69/32,665.84
  6. Step 6: Final answer
    x = 13,941.34

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1.5x scale

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.