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Finding the Fourth Proportional to 29,797.35, 44,686.01 and 12,023.42

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Solution

The fourth proportional to 29,797.35, 44,686.01 and 12,023.42 is: 18,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,797.35 : 44,686.01 = 12,023.42 : x
  2. Step 2: Convert to fraction form
    29,797.35/44,686.01 = 12,023.42/x
  3. Step 3: Cross multiply
    29,797.35x = 44,686.01 × 12,023.42
  4. Step 4: Simplify right side
    29,797.35x = 537,278,382.81
  5. Step 5: Solve for x
    x = 537,278,382.81/29,797.35
  6. Step 6: Final answer
    x = 18,031.08

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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.