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Finding the Fourth Proportional to 65,241.88, 97,419.41 and 61,545.84

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Solution

The fourth proportional to 65,241.88, 97,419.41 and 61,545.84 is: 91,900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,241.88 : 97,419.41 = 61,545.84 : x
  2. Step 2: Convert to fraction form
    65,241.88/97,419.41 = 61,545.84/x
  3. Step 3: Cross multiply
    65,241.88x = 97,419.41 × 61,545.84
  4. Step 4: Simplify right side
    65,241.88x = 5,995,759,420.75
  5. Step 5: Solve for x
    x = 5,995,759,420.75/65,241.88
  6. Step 6: Final answer
    x = 91,900.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.