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Finding the Fourth Proportional to 65,657.16, 90,596.34 and 37,363.32

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Solution

The fourth proportional to 65,657.16, 90,596.34 and 37,363.32 is: 51,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,657.16 : 90,596.34 = 37,363.32 : x
  2. Step 2: Convert to fraction form
    65,657.16/90,596.34 = 37,363.32/x
  3. Step 3: Cross multiply
    65,657.16x = 90,596.34 × 37,363.32
  4. Step 4: Simplify right side
    65,657.16x = 3,384,980,042.25
  5. Step 5: Solve for x
    x = 3,384,980,042.25/65,657.16
  6. Step 6: Final answer
    x = 51,555.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.