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Finding the Fourth Proportional to 29,357.28, 44,041.19 and 13,774.50

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Solution

The fourth proportional to 29,357.28, 44,041.19 and 13,774.50 is: 20,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,357.28 : 44,041.19 = 13,774.50 : x
  2. Step 2: Convert to fraction form
    29,357.28/44,041.19 = 13,774.50/x
  3. Step 3: Cross multiply
    29,357.28x = 44,041.19 × 13,774.50
  4. Step 4: Simplify right side
    29,357.28x = 606,645,302.78
  5. Step 5: Solve for x
    x = 606,645,302.78/29,357.28
  6. Step 6: Final answer
    x = 20,664.22

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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.