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Finding the Fourth Proportional to 35,798.70, 49,402.26 and 19,882.74

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Solution

The fourth proportional to 35,798.70, 49,402.26 and 19,882.74 is: 27,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,798.70 : 49,402.26 = 19,882.74 : x
  2. Step 2: Convert to fraction form
    35,798.70/49,402.26 = 19,882.74/x
  3. Step 3: Cross multiply
    35,798.70x = 49,402.26 × 19,882.74
  4. Step 4: Simplify right side
    35,798.70x = 982,252,290.99
  5. Step 5: Solve for x
    x = 982,252,290.99/35,798.70
  6. Step 6: Final answer
    x = 27,438.21

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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.