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Finding the Fourth Proportional to 53,451.77, 73,763.45 and 29,578.53

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Solution

The fourth proportional to 53,451.77, 73,763.45 and 29,578.53 is: 40,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,451.77 : 73,763.45 = 29,578.53 : x
  2. Step 2: Convert to fraction form
    53,451.77/73,763.45 = 29,578.53/x
  3. Step 3: Cross multiply
    53,451.77x = 73,763.45 × 29,578.53
  4. Step 4: Simplify right side
    53,451.77x = 2,181,814,270.84
  5. Step 5: Solve for x
    x = 2,181,814,270.84/53,451.77
  6. Step 6: Final answer
    x = 40,818.38

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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.