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Finding the Fourth Proportional to 72,949.47, 109,424.17 and 56,333.73

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Solution

The fourth proportional to 72,949.47, 109,424.17 and 56,333.73 is: 84,500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,949.47 : 109,424.17 = 56,333.73 : x
  2. Step 2: Convert to fraction form
    72,949.47/109,424.17 = 56,333.73/x
  3. Step 3: Cross multiply
    72,949.47x = 109,424.17 × 56,333.73
  4. Step 4: Simplify right side
    72,949.47x = 6,164,271,648.25
  5. Step 5: Solve for x
    x = 6,164,271,648.25/72,949.47
  6. Step 6: Final answer
    x = 84,500.57

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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.