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Finding the Fourth Proportional to 37,217.60, 55,826.40 and 21,406.40

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Solution

The fourth proportional to 37,217.60, 55,826.40 and 21,406.40 is: 32,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,217.60 : 55,826.40 = 21,406.40 : x
  2. Step 2: Convert to fraction form
    37,217.60/55,826.40 = 21,406.40/x
  3. Step 3: Cross multiply
    37,217.60x = 55,826.40 × 21,406.40
  4. Step 4: Simplify right side
    37,217.60x = 1,195,042,248.96
  5. Step 5: Solve for x
    x = 1,195,042,248.96/37,217.60
  6. Step 6: Final answer
    x = 32,109.60

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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.