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Finding the Fourth Proportional to 29,643.16, 44,464.78 and 12,113

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Solution

The fourth proportional to 29,643.16, 44,464.78 and 12,113 is: 18,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,643.16 : 44,464.78 = 12,113 : x
  2. Step 2: Convert to fraction form
    29,643.16/44,464.78 = 12,113/x
  3. Step 3: Cross multiply
    29,643.16x = 44,464.78 × 12,113
  4. Step 4: Simplify right side
    29,643.16x = 538,601,880.14
  5. Step 5: Solve for x
    x = 538,601,880.14/29,643.16
  6. Step 6: Final answer
    x = 18,169.52

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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.