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Finding the Fourth Proportional to 82,967.70, 114,502.23 and 47,168.94

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Solution

The fourth proportional to 82,967.70, 114,502.23 and 47,168.94 is: 65,097.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,967.70 : 114,502.23 = 47,168.94 : x
  2. Step 2: Convert to fraction form
    82,967.70/114,502.23 = 47,168.94/x
  3. Step 3: Cross multiply
    82,967.70x = 114,502.23 × 47,168.94
  4. Step 4: Simplify right side
    82,967.70x = 5,400,948,816.74
  5. Step 5: Solve for x
    x = 5,400,948,816.74/82,967.70
  6. Step 6: Final answer
    x = 65,097.01

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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.