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Finding the Fourth Proportional to 50,642.51, 75,963.80 and 13,202.49

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Solution

The fourth proportional to 50,642.51, 75,963.80 and 13,202.49 is: 19,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,642.51 : 75,963.80 = 13,202.49 : x
  2. Step 2: Convert to fraction form
    50,642.51/75,963.80 = 13,202.49/x
  3. Step 3: Cross multiply
    50,642.51x = 75,963.80 × 13,202.49
  4. Step 4: Simplify right side
    50,642.51x = 1,002,911,119.95
  5. Step 5: Solve for x
    x = 1,002,911,119.95/50,642.51
  6. Step 6: Final answer
    x = 19,803.74

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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.