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Finding the Fourth Proportional to 82,762, 114,213.36 and 45,036.28

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Solution

The fourth proportional to 82,762, 114,213.36 and 45,036.28 is: 62,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,762 : 114,213.36 = 45,036.28 : x
  2. Step 2: Convert to fraction form
    82,762/114,213.36 = 45,036.28/x
  3. Step 3: Cross multiply
    82,762x = 114,213.36 × 45,036.28
  4. Step 4: Simplify right side
    82,762x = 5,143,744,860.70
  5. Step 5: Solve for x
    x = 5,143,744,860.70/82,762
  6. Step 6: Final answer
    x = 62,151.05

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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.