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Finding the Fourth Proportional to 36,762.96, 50,719.14 and 21,646.38

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Solution

The fourth proportional to 36,762.96, 50,719.14 and 21,646.38 is: 29,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,762.96 : 50,719.14 = 21,646.38 : x
  2. Step 2: Convert to fraction form
    36,762.96/50,719.14 = 21,646.38/x
  3. Step 3: Cross multiply
    36,762.96x = 50,719.14 × 21,646.38
  4. Step 4: Simplify right side
    36,762.96x = 1,097,885,777.71
  5. Step 5: Solve for x
    x = 1,097,885,777.71/36,762.96
  6. Step 6: Final answer
    x = 29,863.91

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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.