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Finding the Fourth Proportional to 39,503.84, 59,243.40 and 13,202.43

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Solution

The fourth proportional to 39,503.84, 59,243.40 and 13,202.43 is: 19,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,503.84 : 59,243.40 = 13,202.43 : x
  2. Step 2: Convert to fraction form
    39,503.84/59,243.40 = 13,202.43/x
  3. Step 3: Cross multiply
    39,503.84x = 59,243.40 × 13,202.43
  4. Step 4: Simplify right side
    39,503.84x = 782,156,619.30
  5. Step 5: Solve for x
    x = 782,156,619.30/39,503.84
  6. Step 6: Final answer
    x = 19,799.51

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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.