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Finding the Fourth Proportional to 101,295.52, 151,943.60 and 31,174.40

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Solution

The fourth proportional to 101,295.52, 151,943.60 and 31,174.40 is: 46,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,295.52 : 151,943.60 = 31,174.40 : x
  2. Step 2: Convert to fraction form
    101,295.52/151,943.60 = 31,174.40/x
  3. Step 3: Cross multiply
    101,295.52x = 151,943.60 × 31,174.40
  4. Step 4: Simplify right side
    101,295.52x = 4,736,750,563.84
  5. Step 5: Solve for x
    x = 4,736,750,563.84/101,295.52
  6. Step 6: Final answer
    x = 46,761.70

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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.