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Finding the Fourth Proportional to 47,657.57, 71,486.85 and 14,377.91

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Solution

The fourth proportional to 47,657.57, 71,486.85 and 14,377.91 is: 21,567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,657.57 : 71,486.85 = 14,377.91 : x
  2. Step 2: Convert to fraction form
    47,657.57/71,486.85 = 14,377.91/x
  3. Step 3: Cross multiply
    47,657.57x = 71,486.85 × 14,377.91
  4. Step 4: Simplify right side
    47,657.57x = 1,027,831,138.05
  5. Step 5: Solve for x
    x = 1,027,831,138.05/47,657.57
  6. Step 6: Final answer
    x = 21,567.01

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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.