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Finding the Fourth Proportional to 82,762, 114,212.11 and 45,036.52

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Solution

The fourth proportional to 82,762, 114,212.11 and 45,036.52 is: 62,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,762 : 114,212.11 = 45,036.52 : x
  2. Step 2: Convert to fraction form
    82,762/114,212.11 = 45,036.52/x
  3. Step 3: Cross multiply
    82,762x = 114,212.11 × 45,036.52
  4. Step 4: Simplify right side
    82,762x = 5,143,715,976.26
  5. Step 5: Solve for x
    x = 5,143,715,976.26/82,762
  6. Step 6: Final answer
    x = 62,150.70

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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.