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Finding the Fourth Proportional to 29,648.16, 44,472.28 and 12,118

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Solution

The fourth proportional to 29,648.16, 44,472.28 and 12,118 is: 18,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,648.16 : 44,472.28 = 12,118 : x
  2. Step 2: Convert to fraction form
    29,648.16/44,472.28 = 12,118/x
  3. Step 3: Cross multiply
    29,648.16x = 44,472.28 × 12,118
  4. Step 4: Simplify right side
    29,648.16x = 538,915,089.04
  5. Step 5: Solve for x
    x = 538,915,089.04/29,648.16
  6. Step 6: Final answer
    x = 18,177.02

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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.