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Finding the Fourth Proportional to 59,846, 89,772.60 and 18,293.36

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Solution

The fourth proportional to 59,846, 89,772.60 and 18,293.36 is: 27,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,846 : 89,772.60 = 18,293.36 : x
  2. Step 2: Convert to fraction form
    59,846/89,772.60 = 18,293.36/x
  3. Step 3: Cross multiply
    59,846x = 89,772.60 × 18,293.36
  4. Step 4: Simplify right side
    59,846x = 1,642,242,489.94
  5. Step 5: Solve for x
    x = 1,642,242,489.94/59,846
  6. Step 6: Final answer
    x = 27,441.14

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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.