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Finding the Fourth Proportional to 101,342.64, 152,046.75 and 48,745.26

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Solution

The fourth proportional to 101,342.64, 152,046.75 and 48,745.26 is: 73,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,342.64 : 152,046.75 = 48,745.26 : x
  2. Step 2: Convert to fraction form
    101,342.64/152,046.75 = 48,745.26/x
  3. Step 3: Cross multiply
    101,342.64x = 152,046.75 × 48,745.26
  4. Step 4: Simplify right side
    101,342.64x = 7,411,558,360.91
  5. Step 5: Solve for x
    x = 7,411,558,360.91/101,342.64
  6. Step 6: Final answer
    x = 73,133.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.