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Finding the Fourth Proportional to 97,751.30, 146,597.70 and 50,978.66

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Solution

The fourth proportional to 97,751.30, 146,597.70 and 50,978.66 is: 76,452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,751.30 : 146,597.70 = 50,978.66 : x
  2. Step 2: Convert to fraction form
    97,751.30/146,597.70 = 50,978.66/x
  3. Step 3: Cross multiply
    97,751.30x = 146,597.70 × 50,978.66
  4. Step 4: Simplify right side
    97,751.30x = 7,473,354,305.08
  5. Step 5: Solve for x
    x = 7,473,354,305.08/97,751.30
  6. Step 6: Final answer
    x = 76,452.74

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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.