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Finding the Fourth Proportional to 65,261.84, 97,899.24 and 20,877.44

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Solution

The fourth proportional to 65,261.84, 97,899.24 and 20,877.44 is: 31,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,261.84 : 97,899.24 = 20,877.44 : x
  2. Step 2: Convert to fraction form
    65,261.84/97,899.24 = 20,877.44/x
  3. Step 3: Cross multiply
    65,261.84x = 97,899.24 × 20,877.44
  4. Step 4: Simplify right side
    65,261.84x = 2,043,885,509.15
  5. Step 5: Solve for x
    x = 2,043,885,509.15/65,261.84
  6. Step 6: Final answer
    x = 31,318.23

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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.