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Finding the Fourth Proportional to 55,696.50, 83,548.08 and 22,416.42

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Solution

The fourth proportional to 55,696.50, 83,548.08 and 22,416.42 is: 33,625.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,696.50 : 83,548.08 = 22,416.42 : x
  2. Step 2: Convert to fraction form
    55,696.50/83,548.08 = 22,416.42/x
  3. Step 3: Cross multiply
    55,696.50x = 83,548.08 × 22,416.42
  4. Step 4: Simplify right side
    55,696.50x = 1,872,848,851.47
  5. Step 5: Solve for x
    x = 1,872,848,851.47/55,696.50
  6. Step 6: Final answer
    x = 33,625.97

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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.