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Finding the Fourth Proportional to 82,910.50, 114,416.49 and 45,184.75

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Solution

The fourth proportional to 82,910.50, 114,416.49 and 45,184.75 is: 62,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,910.50 : 114,416.49 = 45,184.75 : x
  2. Step 2: Convert to fraction form
    82,910.50/114,416.49 = 45,184.75/x
  3. Step 3: Cross multiply
    82,910.50x = 114,416.49 × 45,184.75
  4. Step 4: Simplify right side
    82,910.50x = 5,169,880,496.53
  5. Step 5: Solve for x
    x = 5,169,880,496.53/82,910.50
  6. Step 6: Final answer
    x = 62,354.96

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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.