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Finding the Fourth Proportional to 53,873.20, 80,782.14 and 28,934.24

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Solution

The fourth proportional to 53,873.20, 80,782.14 and 28,934.24 is: 43,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,873.20 : 80,782.14 = 28,934.24 : x
  2. Step 2: Convert to fraction form
    53,873.20/80,782.14 = 28,934.24/x
  3. Step 3: Cross multiply
    53,873.20x = 80,782.14 × 28,934.24
  4. Step 4: Simplify right side
    53,873.20x = 2,337,369,514.13
  5. Step 5: Solve for x
    x = 2,337,369,514.13/53,873.20
  6. Step 6: Final answer
    x = 43,386.50

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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.