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Finding the Fourth Proportional to 100,511.70, 150,637.95 and 47,807.70

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Solution

The fourth proportional to 100,511.70, 150,637.95 and 47,807.70 is: 71,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,511.70 : 150,637.95 = 47,807.70 : x
  2. Step 2: Convert to fraction form
    100,511.70/150,637.95 = 47,807.70/x
  3. Step 3: Cross multiply
    100,511.70x = 150,637.95 × 47,807.70
  4. Step 4: Simplify right side
    100,511.70x = 7,201,653,922.22
  5. Step 5: Solve for x
    x = 7,201,653,922.22/100,511.70
  6. Step 6: Final answer
    x = 71,649.91

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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.