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Finding the Fourth Proportional to 97,480.95, 146,191.65 and 41,320

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Solution

The fourth proportional to 97,480.95, 146,191.65 and 41,320 is: 61,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,480.95 : 146,191.65 = 41,320 : x
  2. Step 2: Convert to fraction form
    97,480.95/146,191.65 = 41,320/x
  3. Step 3: Cross multiply
    97,480.95x = 146,191.65 × 41,320
  4. Step 4: Simplify right side
    97,480.95x = 6,040,638,978
  5. Step 5: Solve for x
    x = 6,040,638,978/97,480.95
  6. Step 6: Final answer
    x = 61,967.38

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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.