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Finding the Fourth Proportional to 101,171.51, 151,743.94 and 31,044.95

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Solution

The fourth proportional to 101,171.51, 151,743.94 and 31,044.95 is: 46,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,171.51 : 151,743.94 = 31,044.95 : x
  2. Step 2: Convert to fraction form
    101,171.51/151,743.94 = 31,044.95/x
  3. Step 3: Cross multiply
    101,171.51x = 151,743.94 × 31,044.95
  4. Step 4: Simplify right side
    101,171.51x = 4,710,883,030.10
  5. Step 5: Solve for x
    x = 4,710,883,030.10/101,171.51
  6. Step 6: Final answer
    x = 46,563.34

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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.