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Finding the Fourth Proportional to 73,702.94, 101,710.40 and 41,873.58

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Solution

The fourth proportional to 73,702.94, 101,710.40 and 41,873.58 is: 57,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,702.94 : 101,710.40 = 41,873.58 : x
  2. Step 2: Convert to fraction form
    73,702.94/101,710.40 = 41,873.58/x
  3. Step 3: Cross multiply
    73,702.94x = 101,710.40 × 41,873.58
  4. Step 4: Simplify right side
    73,702.94x = 4,258,978,361.86
  5. Step 5: Solve for x
    x = 4,258,978,361.86/73,702.94
  6. Step 6: Final answer
    x = 57,785.74

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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.