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Finding the Fourth Proportional to 29,427.40, 44,124.90 and 12,784.60

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Solution

The fourth proportional to 29,427.40, 44,124.90 and 12,784.60 is: 19,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,427.40 : 44,124.90 = 12,784.60 : x
  2. Step 2: Convert to fraction form
    29,427.40/44,124.90 = 12,784.60/x
  3. Step 3: Cross multiply
    29,427.40x = 44,124.90 × 12,784.60
  4. Step 4: Simplify right side
    29,427.40x = 564,119,196.54
  5. Step 5: Solve for x
    x = 564,119,196.54/29,427.40
  6. Step 6: Final answer
    x = 19,169.86

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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.