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Finding the Fourth Proportional to 82,903.70, 114,410.17 and 47,099.78

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Solution

The fourth proportional to 82,903.70, 114,410.17 and 47,099.78 is: 64,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,903.70 : 114,410.17 = 47,099.78 : x
  2. Step 2: Convert to fraction form
    82,903.70/114,410.17 = 47,099.78/x
  3. Step 3: Cross multiply
    82,903.70x = 114,410.17 × 47,099.78
  4. Step 4: Simplify right side
    82,903.70x = 5,388,693,752.62
  5. Step 5: Solve for x
    x = 5,388,693,752.62/82,903.70
  6. Step 6: Final answer
    x = 64,999.43

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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.