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Finding the Fourth Proportional to 82,770.75, 114,224.04 and 45,045

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Solution

The fourth proportional to 82,770.75, 114,224.04 and 45,045 is: 62,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,770.75 : 114,224.04 = 45,045 : x
  2. Step 2: Convert to fraction form
    82,770.75/114,224.04 = 45,045/x
  3. Step 3: Cross multiply
    82,770.75x = 114,224.04 × 45,045
  4. Step 4: Simplify right side
    82,770.75x = 5,145,221,881.80
  5. Step 5: Solve for x
    x = 5,145,221,881.80/82,770.75
  6. Step 6: Final answer
    x = 62,162.32

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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.