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Finding the Fourth Proportional to 33,570, 50,322.12 and 13,862.28

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Solution

The fourth proportional to 33,570, 50,322.12 and 13,862.28 is: 20,779.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,570 : 50,322.12 = 13,862.28 : x
  2. Step 2: Convert to fraction form
    33,570/50,322.12 = 13,862.28/x
  3. Step 3: Cross multiply
    33,570x = 50,322.12 × 13,862.28
  4. Step 4: Simplify right side
    33,570x = 697,579,317.63
  5. Step 5: Solve for x
    x = 697,579,317.63/33,570
  6. Step 6: Final answer
    x = 20,779.84

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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.