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Finding the Fourth Proportional to 55,725.60, 83,564.10 and 22,434.60

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Solution

The fourth proportional to 55,725.60, 83,564.10 and 22,434.60 is: 33,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,725.60 : 83,564.10 = 22,434.60 : x
  2. Step 2: Convert to fraction form
    55,725.60/83,564.10 = 22,434.60/x
  3. Step 3: Cross multiply
    55,725.60x = 83,564.10 × 22,434.60
  4. Step 4: Simplify right side
    55,725.60x = 1,874,727,157.86
  5. Step 5: Solve for x
    x = 1,874,727,157.86/55,725.60
  6. Step 6: Final answer
    x = 33,642.12

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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.