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Finding the Fourth Proportional to 82,770.84, 114,221.61 and 48,322.17

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Solution

The fourth proportional to 82,770.84, 114,221.61 and 48,322.17 is: 66,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,770.84 : 114,221.61 = 48,322.17 : x
  2. Step 2: Convert to fraction form
    82,770.84/114,221.61 = 48,322.17/x
  3. Step 3: Cross multiply
    82,770.84x = 114,221.61 × 48,322.17
  4. Step 4: Simplify right side
    82,770.84x = 5,519,436,056.09
  5. Step 5: Solve for x
    x = 5,519,436,056.09/82,770.84
  6. Step 6: Final answer
    x = 66,683.34

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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.