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Finding the Fourth Proportional to 32,767.91, 49,151.99 and 9,971.97

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Solution

The fourth proportional to 32,767.91, 49,151.99 and 9,971.97 is: 14,957.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.91 : 49,151.99 = 9,971.97 : x
  2. Step 2: Convert to fraction form
    32,767.91/49,151.99 = 9,971.97/x
  3. Step 3: Cross multiply
    32,767.91x = 49,151.99 × 9,971.97
  4. Step 4: Simplify right side
    32,767.91x = 490,142,119.86
  5. Step 5: Solve for x
    x = 490,142,119.86/32,767.91
  6. Step 6: Final answer
    x = 14,957.99

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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.