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Finding the Fourth Proportional to 29,098.63, 43,641.02 and 8,038.20

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Solution

The fourth proportional to 29,098.63, 43,641.02 and 8,038.20 is: 12,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,098.63 : 43,641.02 = 8,038.20 : x
  2. Step 2: Convert to fraction form
    29,098.63/43,641.02 = 8,038.20/x
  3. Step 3: Cross multiply
    29,098.63x = 43,641.02 × 8,038.20
  4. Step 4: Simplify right side
    29,098.63x = 350,795,236.92
  5. Step 5: Solve for x
    x = 350,795,236.92/29,098.63
  6. Step 6: Final answer
    x = 12,055.39

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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.