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Finding the Fourth Proportional to 35,709.60, 49,284 and 22,294.56

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Solution

The fourth proportional to 35,709.60, 49,284 and 22,294.56 is: 30,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,709.60 : 49,284 = 22,294.56 : x
  2. Step 2: Convert to fraction form
    35,709.60/49,284 = 22,294.56/x
  3. Step 3: Cross multiply
    35,709.60x = 49,284 × 22,294.56
  4. Step 4: Simplify right side
    35,709.60x = 1,098,765,095.04
  5. Step 5: Solve for x
    x = 1,098,765,095.04/35,709.60
  6. Step 6: Final answer
    x = 30,769.46

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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.