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Finding the Fourth Proportional to 32,990.42, 49,489.43 and 9,616.86

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Solution

The fourth proportional to 32,990.42, 49,489.43 and 9,616.86 is: 14,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,990.42 : 49,489.43 = 9,616.86 : x
  2. Step 2: Convert to fraction form
    32,990.42/49,489.43 = 9,616.86/x
  3. Step 3: Cross multiply
    32,990.42x = 49,489.43 × 9,616.86
  4. Step 4: Simplify right side
    32,990.42x = 475,932,871.71
  5. Step 5: Solve for x
    x = 475,932,871.71/32,990.42
  6. Step 6: Final answer
    x = 14,426.40

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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.