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Finding the Fourth Proportional to 82,461.53, 113,809.13 and 52,249.67

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Solution

The fourth proportional to 82,461.53, 113,809.13 and 52,249.67 is: 72,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,461.53 : 113,809.13 = 52,249.67 : x
  2. Step 2: Convert to fraction form
    82,461.53/113,809.13 = 52,249.67/x
  3. Step 3: Cross multiply
    82,461.53x = 113,809.13 × 52,249.67
  4. Step 4: Simplify right side
    82,461.53x = 5,946,489,047.07
  5. Step 5: Solve for x
    x = 5,946,489,047.07/82,461.53
  6. Step 6: Final answer
    x = 72,112.28

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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.