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Finding the Fourth Proportional to 43,877.64, 65,663.34 and 35,887.80

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Solution

The fourth proportional to 43,877.64, 65,663.34 and 35,887.80 is: 53,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,877.64 : 65,663.34 = 35,887.80 : x
  2. Step 2: Convert to fraction form
    43,877.64/65,663.34 = 35,887.80/x
  3. Step 3: Cross multiply
    43,877.64x = 65,663.34 × 35,887.80
  4. Step 4: Simplify right side
    43,877.64x = 2,356,512,813.25
  5. Step 5: Solve for x
    x = 2,356,512,813.25/43,877.64
  6. Step 6: Final answer
    x = 53,706.46

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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.