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Finding the Fourth Proportional to 29,809.81, 44,686.92 and 10,074.64

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Solution

The fourth proportional to 29,809.81, 44,686.92 and 10,074.64 is: 15,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,809.81 : 44,686.92 = 10,074.64 : x
  2. Step 2: Convert to fraction form
    29,809.81/44,686.92 = 10,074.64/x
  3. Step 3: Cross multiply
    29,809.81x = 44,686.92 × 10,074.64
  4. Step 4: Simplify right side
    29,809.81x = 450,204,631.71
  5. Step 5: Solve for x
    x = 450,204,631.71/29,809.81
  6. Step 6: Final answer
    x = 15,102.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.