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Finding the Fourth Proportional to 82,993.68, 114,531.12 and 45,267.84

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Solution

The fourth proportional to 82,993.68, 114,531.12 and 45,267.84 is: 62,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,993.68 : 114,531.12 = 45,267.84 : x
  2. Step 2: Convert to fraction form
    82,993.68/114,531.12 = 45,267.84/x
  3. Step 3: Cross multiply
    82,993.68x = 114,531.12 × 45,267.84
  4. Step 4: Simplify right side
    82,993.68x = 5,184,576,415.18
  5. Step 5: Solve for x
    x = 5,184,576,415.18/82,993.68
  6. Step 6: Final answer
    x = 62,469.53

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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.