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Finding the Fourth Proportional to 55,783.78, 83,675.70 and 35,021.86

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Solution

The fourth proportional to 55,783.78, 83,675.70 and 35,021.86 is: 52,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,783.78 : 83,675.70 = 35,021.86 : x
  2. Step 2: Convert to fraction form
    55,783.78/83,675.70 = 35,021.86/x
  3. Step 3: Cross multiply
    55,783.78x = 83,675.70 × 35,021.86
  4. Step 4: Simplify right side
    55,783.78x = 2,930,478,650.80
  5. Step 5: Solve for x
    x = 2,930,478,650.80/55,783.78
  6. Step 6: Final answer
    x = 52,532.81

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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.