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Finding the Fourth Proportional to 32,009.71, 48,019.74 and 12,020.75

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Solution

The fourth proportional to 32,009.71, 48,019.74 and 12,020.75 is: 18,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009.71 : 48,019.74 = 12,020.75 : x
  2. Step 2: Convert to fraction form
    32,009.71/48,019.74 = 12,020.75/x
  3. Step 3: Cross multiply
    32,009.71x = 48,019.74 × 12,020.75
  4. Step 4: Simplify right side
    32,009.71x = 577,233,530.68
  5. Step 5: Solve for x
    x = 577,233,530.68/32,009.71
  6. Step 6: Final answer
    x = 18,033.08

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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.