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Finding the Fourth Proportional to 57,706.90, 86,601.36 and 22,646.56

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Solution

The fourth proportional to 57,706.90, 86,601.36 and 22,646.56 is: 33,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,706.90 : 86,601.36 = 22,646.56 : x
  2. Step 2: Convert to fraction form
    57,706.90/86,601.36 = 22,646.56/x
  3. Step 3: Cross multiply
    57,706.90x = 86,601.36 × 22,646.56
  4. Step 4: Simplify right side
    57,706.90x = 1,961,222,895.32
  5. Step 5: Solve for x
    x = 1,961,222,895.32/57,706.90
  6. Step 6: Final answer
    x = 33,985.93

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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.