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Finding the Fourth Proportional to 74,856.24, 103,302 and 41,322.24

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Solution

The fourth proportional to 74,856.24, 103,302 and 41,322.24 is: 57,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,856.24 : 103,302 = 41,322.24 : x
  2. Step 2: Convert to fraction form
    74,856.24/103,302 = 41,322.24/x
  3. Step 3: Cross multiply
    74,856.24x = 103,302 × 41,322.24
  4. Step 4: Simplify right side
    74,856.24x = 4,268,670,036.48
  5. Step 5: Solve for x
    x = 4,268,670,036.48/74,856.24
  6. Step 6: Final answer
    x = 57,024.91

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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.