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Finding the Fourth Proportional to 53,448, 73,758.74 and 29,575.20

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Solution

The fourth proportional to 53,448, 73,758.74 and 29,575.20 is: 40,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,448 : 73,758.74 = 29,575.20 : x
  2. Step 2: Convert to fraction form
    53,448/73,758.74 = 29,575.20/x
  3. Step 3: Cross multiply
    53,448x = 73,758.74 × 29,575.20
  4. Step 4: Simplify right side
    53,448x = 2,181,429,487.25
  5. Step 5: Solve for x
    x = 2,181,429,487.25/53,448
  6. Step 6: Final answer
    x = 40,814.05

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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.