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Finding the Fourth Proportional to 61,178.88, 91,706.28 and 41,459.40

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Solution

The fourth proportional to 61,178.88, 91,706.28 and 41,459.40 is: 62,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,178.88 : 91,706.28 = 41,459.40 : x
  2. Step 2: Convert to fraction form
    61,178.88/91,706.28 = 41,459.40/x
  3. Step 3: Cross multiply
    61,178.88x = 91,706.28 × 41,459.40
  4. Step 4: Simplify right side
    61,178.88x = 3,802,087,345.03
  5. Step 5: Solve for x
    x = 3,802,087,345.03/61,178.88
  6. Step 6: Final answer
    x = 62,147.06

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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.