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Finding the Fourth Proportional to 53,758, 74,182.53 and 29,883.79

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Solution

The fourth proportional to 53,758, 74,182.53 and 29,883.79 is: 41,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,758 : 74,182.53 = 29,883.79 : x
  2. Step 2: Convert to fraction form
    53,758/74,182.53 = 29,883.79/x
  3. Step 3: Cross multiply
    53,758x = 74,182.53 × 29,883.79
  4. Step 4: Simplify right side
    53,758x = 2,216,855,148.19
  5. Step 5: Solve for x
    x = 2,216,855,148.19/53,758
  6. Step 6: Final answer
    x = 41,237.68

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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.