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Finding the Fourth Proportional to 52,782.92, 72,837.72 and 28,904.98

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Solution

The fourth proportional to 52,782.92, 72,837.72 and 28,904.98 is: 39,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,782.92 : 72,837.72 = 28,904.98 : x
  2. Step 2: Convert to fraction form
    52,782.92/72,837.72 = 28,904.98/x
  3. Step 3: Cross multiply
    52,782.92x = 72,837.72 × 28,904.98
  4. Step 4: Simplify right side
    52,782.92x = 2,105,372,839.85
  5. Step 5: Solve for x
    x = 2,105,372,839.85/52,782.92
  6. Step 6: Final answer
    x = 39,887.39

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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.