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Finding the Fourth Proportional to 32,831.16, 49,246.42 and 8,207.16

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Solution

The fourth proportional to 32,831.16, 49,246.42 and 8,207.16 is: 12,310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,831.16 : 49,246.42 = 8,207.16 : x
  2. Step 2: Convert to fraction form
    32,831.16/49,246.42 = 8,207.16/x
  3. Step 3: Cross multiply
    32,831.16x = 49,246.42 × 8,207.16
  4. Step 4: Simplify right side
    32,831.16x = 404,173,248.37
  5. Step 5: Solve for x
    x = 404,173,248.37/32,831.16
  6. Step 6: Final answer
    x = 12,310.66

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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.