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Finding the Fourth Proportional to 82,934.99, 114,446.62 and 47,128.33

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Solution

The fourth proportional to 82,934.99, 114,446.62 and 47,128.33 is: 65,035.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,934.99 : 114,446.62 = 47,128.33 : x
  2. Step 2: Convert to fraction form
    82,934.99/114,446.62 = 47,128.33/x
  3. Step 3: Cross multiply
    82,934.99x = 114,446.62 × 47,128.33
  4. Step 4: Simplify right side
    82,934.99x = 5,393,678,276.71
  5. Step 5: Solve for x
    x = 5,393,678,276.71/82,934.99
  6. Step 6: Final answer
    x = 65,035.02

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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.