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Finding the Fourth Proportional to 39,097.46, 53,961.72 and 22,330.46

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Solution

The fourth proportional to 39,097.46, 53,961.72 and 22,330.46 is: 30,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,097.46 : 53,961.72 = 22,330.46 : x
  2. Step 2: Convert to fraction form
    39,097.46/53,961.72 = 22,330.46/x
  3. Step 3: Cross multiply
    39,097.46x = 53,961.72 × 22,330.46
  4. Step 4: Simplify right side
    39,097.46x = 1,204,990,029.99
  5. Step 5: Solve for x
    x = 1,204,990,029.99/39,097.46
  6. Step 6: Final answer
    x = 30,820.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.