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Finding the Fourth Proportional to 85,157.68, 127,726.80 and 22,823.32

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Solution

The fourth proportional to 85,157.68, 127,726.80 and 22,823.32 is: 34,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,157.68 : 127,726.80 = 22,823.32 : x
  2. Step 2: Convert to fraction form
    85,157.68/127,726.80 = 22,823.32/x
  3. Step 3: Cross multiply
    85,157.68x = 127,726.80 × 22,823.32
  4. Step 4: Simplify right side
    85,157.68x = 2,915,149,628.98
  5. Step 5: Solve for x
    x = 2,915,149,628.98/85,157.68
  6. Step 6: Final answer
    x = 34,232.37

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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.