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Finding the Fourth Proportional to 29,486.81, 44,237.13 and 8,427.15

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Solution

The fourth proportional to 29,486.81, 44,237.13 and 8,427.15 is: 12,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,486.81 : 44,237.13 = 8,427.15 : x
  2. Step 2: Convert to fraction form
    29,486.81/44,237.13 = 8,427.15/x
  3. Step 3: Cross multiply
    29,486.81x = 44,237.13 × 8,427.15
  4. Step 4: Simplify right side
    29,486.81x = 372,792,930.08
  5. Step 5: Solve for x
    x = 372,792,930.08/29,486.81
  6. Step 6: Final answer
    x = 12,642.70

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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.