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Finding the Fourth Proportional to 65,715.82, 90,656.22 and 43,045

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Solution

The fourth proportional to 65,715.82, 90,656.22 and 43,045 is: 59,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,715.82 : 90,656.22 = 43,045 : x
  2. Step 2: Convert to fraction form
    65,715.82/90,656.22 = 43,045/x
  3. Step 3: Cross multiply
    65,715.82x = 90,656.22 × 43,045
  4. Step 4: Simplify right side
    65,715.82x = 3,902,296,989.90
  5. Step 5: Solve for x
    x = 3,902,296,989.90/65,715.82
  6. Step 6: Final answer
    x = 59,381.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.