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Finding the Fourth Proportional to 29,412.51, 44,082.61 and 13,596.14

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Solution

The fourth proportional to 29,412.51, 44,082.61 and 13,596.14 is: 20,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,412.51 : 44,082.61 = 13,596.14 : x
  2. Step 2: Convert to fraction form
    29,412.51/44,082.61 = 13,596.14/x
  3. Step 3: Cross multiply
    29,412.51x = 44,082.61 × 13,596.14
  4. Step 4: Simplify right side
    29,412.51x = 599,353,337.13
  5. Step 5: Solve for x
    x = 599,353,337.13/29,412.51
  6. Step 6: Final answer
    x = 20,377.50

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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.