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Finding the Fourth Proportional to 29,642.16, 44,463.28 and 12,112

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Solution

The fourth proportional to 29,642.16, 44,463.28 and 12,112 is: 18,168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,642.16 : 44,463.28 = 12,112 : x
  2. Step 2: Convert to fraction form
    29,642.16/44,463.28 = 12,112/x
  3. Step 3: Cross multiply
    29,642.16x = 44,463.28 × 12,112
  4. Step 4: Simplify right side
    29,642.16x = 538,539,247.36
  5. Step 5: Solve for x
    x = 538,539,247.36/29,642.16
  6. Step 6: Final answer
    x = 18,168.02

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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.