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Finding the Fourth Proportional to 29,643.40, 44,427.30 and 12,093.40

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Solution

The fourth proportional to 29,643.40, 44,427.30 and 12,093.40 is: 18,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,643.40 : 44,427.30 = 12,093.40 : x
  2. Step 2: Convert to fraction form
    29,643.40/44,427.30 = 12,093.40/x
  3. Step 3: Cross multiply
    29,643.40x = 44,427.30 × 12,093.40
  4. Step 4: Simplify right side
    29,643.40x = 537,277,109.82
  5. Step 5: Solve for x
    x = 537,277,109.82/29,643.40
  6. Step 6: Final answer
    x = 18,124.68

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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.