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Finding the Fourth Proportional to 101,756.52, 152,662.14 and 42,561

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Solution

The fourth proportional to 101,756.52, 152,662.14 and 42,561 is: 63,852.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,756.52 : 152,662.14 = 42,561 : x
  2. Step 2: Convert to fraction form
    101,756.52/152,662.14 = 42,561/x
  3. Step 3: Cross multiply
    101,756.52x = 152,662.14 × 42,561
  4. Step 4: Simplify right side
    101,756.52x = 6,497,453,340.54
  5. Step 5: Solve for x
    x = 6,497,453,340.54/101,756.52
  6. Step 6: Final answer
    x = 63,852.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.