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Finding the Fourth Proportional to 52,402.68, 78,603.84 and 21,237.84

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Solution

The fourth proportional to 52,402.68, 78,603.84 and 21,237.84 is: 31,856.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,402.68 : 78,603.84 = 21,237.84 : x
  2. Step 2: Convert to fraction form
    52,402.68/78,603.84 = 21,237.84/x
  3. Step 3: Cross multiply
    52,402.68x = 78,603.84 × 21,237.84
  4. Step 4: Simplify right side
    52,402.68x = 1,669,375,777.31
  5. Step 5: Solve for x
    x = 1,669,375,777.31/52,402.68
  6. Step 6: Final answer
    x = 31,856.69

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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.