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Finding the Fourth Proportional to 55,862.16, 83,783.16 and 22,580.88

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Solution

The fourth proportional to 55,862.16, 83,783.16 and 22,580.88 is: 33,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,862.16 : 83,783.16 = 22,580.88 : x
  2. Step 2: Convert to fraction form
    55,862.16/83,783.16 = 22,580.88/x
  3. Step 3: Cross multiply
    55,862.16x = 83,783.16 × 22,580.88
  4. Step 4: Simplify right side
    55,862.16x = 1,891,897,481.98
  5. Step 5: Solve for x
    x = 1,891,897,481.98/55,862.16
  6. Step 6: Final answer
    x = 33,867.25

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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.