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Finding the Fourth Proportional to 101,474.82, 152,202.87 and 31,347.18

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Solution

The fourth proportional to 101,474.82, 152,202.87 and 31,347.18 is: 47,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,474.82 : 152,202.87 = 31,347.18 : x
  2. Step 2: Convert to fraction form
    101,474.82/152,202.87 = 31,347.18/x
  3. Step 3: Cross multiply
    101,474.82x = 152,202.87 × 31,347.18
  4. Step 4: Simplify right side
    101,474.82x = 4,771,130,762.41
  5. Step 5: Solve for x
    x = 4,771,130,762.41/101,474.82
  6. Step 6: Final answer
    x = 47,017.88

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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.