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Finding the Fourth Proportional to 82,911.68, 114,385.68 and 51,025.22

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Solution

The fourth proportional to 82,911.68, 114,385.68 and 51,025.22 is: 70,394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,911.68 : 114,385.68 = 51,025.22 : x
  2. Step 2: Convert to fraction form
    82,911.68/114,385.68 = 51,025.22/x
  3. Step 3: Cross multiply
    82,911.68x = 114,385.68 × 51,025.22
  4. Step 4: Simplify right side
    82,911.68x = 5,836,554,486.85
  5. Step 5: Solve for x
    x = 5,836,554,486.85/82,911.68
  6. Step 6: Final answer
    x = 70,394.84

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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.