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Finding the Fourth Proportional to 97,657.98, 146,369.77 and 50,295.36

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Solution

The fourth proportional to 97,657.98, 146,369.77 and 50,295.36 is: 75,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,657.98 : 146,369.77 = 50,295.36 : x
  2. Step 2: Convert to fraction form
    97,657.98/146,369.77 = 50,295.36/x
  3. Step 3: Cross multiply
    97,657.98x = 146,369.77 × 50,295.36
  4. Step 4: Simplify right side
    97,657.98x = 7,361,720,275.27
  5. Step 5: Solve for x
    x = 7,361,720,275.27/97,657.98
  6. Step 6: Final answer
    x = 75,382.68

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1.5x scale

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.