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Finding the Fourth Proportional to 52,862.38, 72,953.34 and 28,992.50

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Solution

The fourth proportional to 52,862.38, 72,953.34 and 28,992.50 is: 40,011.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,862.38 : 72,953.34 = 28,992.50 : x
  2. Step 2: Convert to fraction form
    52,862.38/72,953.34 = 28,992.50/x
  3. Step 3: Cross multiply
    52,862.38x = 72,953.34 × 28,992.50
  4. Step 4: Simplify right side
    52,862.38x = 2,115,099,709.95
  5. Step 5: Solve for x
    x = 2,115,099,709.95/52,862.38
  6. Step 6: Final answer
    x = 40,011.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.