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Finding the Fourth Proportional to 65,216.82, 97,657.84 and 45,197.78

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Solution

The fourth proportional to 65,216.82, 97,657.84 and 45,197.78 is: 67,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,216.82 : 97,657.84 = 45,197.78 : x
  2. Step 2: Convert to fraction form
    65,216.82/97,657.84 = 45,197.78/x
  3. Step 3: Cross multiply
    65,216.82x = 97,657.84 × 45,197.78
  4. Step 4: Simplify right side
    65,216.82x = 4,413,917,341.61
  5. Step 5: Solve for x
    x = 4,413,917,341.61/65,216.82
  6. Step 6: Final answer
    x = 67,680.66

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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.