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Finding the Fourth Proportional to 101,047.44, 151,538.28 and 47,731.14

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Solution

The fourth proportional to 101,047.44, 151,538.28 and 47,731.14 is: 71,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,047.44 : 151,538.28 = 47,731.14 : x
  2. Step 2: Convert to fraction form
    101,047.44/151,538.28 = 47,731.14/x
  3. Step 3: Cross multiply
    101,047.44x = 151,538.28 × 47,731.14
  4. Step 4: Simplify right side
    101,047.44x = 7,233,094,858.04
  5. Step 5: Solve for x
    x = 7,233,094,858.04/101,047.44
  6. Step 6: Final answer
    x = 71,581.18

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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.