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Finding the Fourth Proportional to 48,447, 72,662.10 and 13,377.24

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Solution

The fourth proportional to 48,447, 72,662.10 and 13,377.24 is: 20,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,447 : 72,662.10 = 13,377.24 : x
  2. Step 2: Convert to fraction form
    48,447/72,662.10 = 13,377.24/x
  3. Step 3: Cross multiply
    48,447x = 72,662.10 × 13,377.24
  4. Step 4: Simplify right side
    48,447x = 972,018,350.60
  5. Step 5: Solve for x
    x = 972,018,350.60/48,447
  6. Step 6: Final answer
    x = 20,063.54

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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.