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Finding the Fourth Proportional to 33,774.95, 50,646.50 and 19,739.01

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Solution

The fourth proportional to 33,774.95, 50,646.50 and 19,739.01 is: 29,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,774.95 : 50,646.50 = 19,739.01 : x
  2. Step 2: Convert to fraction form
    33,774.95/50,646.50 = 19,739.01/x
  3. Step 3: Cross multiply
    33,774.95x = 50,646.50 × 19,739.01
  4. Step 4: Simplify right side
    33,774.95x = 999,711,671.27
  5. Step 5: Solve for x
    x = 999,711,671.27/33,774.95
  6. Step 6: Final answer
    x = 29,599.21

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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.