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Finding the Fourth Proportional to 101,682.95, 152,316.18 and 47,569.82

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Solution

The fourth proportional to 101,682.95, 152,316.18 and 47,569.82 is: 71,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,682.95 : 152,316.18 = 47,569.82 : x
  2. Step 2: Convert to fraction form
    101,682.95/152,316.18 = 47,569.82/x
  3. Step 3: Cross multiply
    101,682.95x = 152,316.18 × 47,569.82
  4. Step 4: Simplify right side
    101,682.95x = 7,245,652,504.11
  5. Step 5: Solve for x
    x = 7,245,652,504.11/101,682.95
  6. Step 6: Final answer
    x = 71,257.30

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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.