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Finding the Fourth Proportional to 76,636.48, 114,954.77 and 21,232.48

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Solution

The fourth proportional to 76,636.48, 114,954.77 and 21,232.48 is: 31,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,636.48 : 114,954.77 = 21,232.48 : x
  2. Step 2: Convert to fraction form
    76,636.48/114,954.77 = 21,232.48/x
  3. Step 3: Cross multiply
    76,636.48x = 114,954.77 × 21,232.48
  4. Step 4: Simplify right side
    76,636.48x = 2,440,774,854.93
  5. Step 5: Solve for x
    x = 2,440,774,854.93/76,636.48
  6. Step 6: Final answer
    x = 31,848.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.