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Finding the Fourth Proportional to 53,803.78, 74,249.12 and 29,929.91

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Solution

The fourth proportional to 53,803.78, 74,249.12 and 29,929.91 is: 41,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,803.78 : 74,249.12 = 29,929.91 : x
  2. Step 2: Convert to fraction form
    53,803.78/74,249.12 = 29,929.91/x
  3. Step 3: Cross multiply
    53,803.78x = 74,249.12 × 29,929.91
  4. Step 4: Simplify right side
    53,803.78x = 2,222,269,182.76
  5. Step 5: Solve for x
    x = 2,222,269,182.76/53,803.78
  6. Step 6: Final answer
    x = 41,303.22

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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.