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Finding the Fourth Proportional to 29,643.71, 44,465.64 and 12,113.54

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Solution

The fourth proportional to 29,643.71, 44,465.64 and 12,113.54 is: 18,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,643.71 : 44,465.64 = 12,113.54 : x
  2. Step 2: Convert to fraction form
    29,643.71/44,465.64 = 12,113.54/x
  3. Step 3: Cross multiply
    29,643.71x = 44,465.64 × 12,113.54
  4. Step 4: Simplify right side
    29,643.71x = 538,636,086.44
  5. Step 5: Solve for x
    x = 538,636,086.44/29,643.71
  6. Step 6: Final answer
    x = 18,170.33

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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.