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Finding the Fourth Proportional to 101,170.51, 151,742.44 and 31,043.95

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Solution

The fourth proportional to 101,170.51, 151,742.44 and 31,043.95 is: 46,561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,170.51 : 151,742.44 = 31,043.95 : x
  2. Step 2: Convert to fraction form
    101,170.51/151,742.44 = 31,043.95/x
  3. Step 3: Cross multiply
    101,170.51x = 151,742.44 × 31,043.95
  4. Step 4: Simplify right side
    101,170.51x = 4,710,684,720.24
  5. Step 5: Solve for x
    x = 4,710,684,720.24/101,170.51
  6. Step 6: Final answer
    x = 46,561.84

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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.