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Finding the Fourth Proportional to 52,983.84, 79,462.26 and 15,533.76

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Solution

The fourth proportional to 52,983.84, 79,462.26 and 15,533.76 is: 23,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,983.84 : 79,462.26 = 15,533.76 : x
  2. Step 2: Convert to fraction form
    52,983.84/79,462.26 = 15,533.76/x
  3. Step 3: Cross multiply
    52,983.84x = 79,462.26 × 15,533.76
  4. Step 4: Simplify right side
    52,983.84x = 1,234,347,675.90
  5. Step 5: Solve for x
    x = 1,234,347,675.90/52,983.84
  6. Step 6: Final answer
    x = 23,296.68

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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.