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Finding the Fourth Proportional to 65,711.84, 90,682.22 and 35,497.13

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Solution

The fourth proportional to 65,711.84, 90,682.22 and 35,497.13 is: 48,985.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,711.84 : 90,682.22 = 35,497.13 : x
  2. Step 2: Convert to fraction form
    65,711.84/90,682.22 = 35,497.13/x
  3. Step 3: Cross multiply
    65,711.84x = 90,682.22 × 35,497.13
  4. Step 4: Simplify right side
    65,711.84x = 3,218,958,187.36
  5. Step 5: Solve for x
    x = 3,218,958,187.36/65,711.84
  6. Step 6: Final answer
    x = 48,985.97

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1.5x scale

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.