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Finding the Fourth Proportional to 77,253.48, 115,881.30 and 21,849.48

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Solution

The fourth proportional to 77,253.48, 115,881.30 and 21,849.48 is: 32,774.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,253.48 : 115,881.30 = 21,849.48 : x
  2. Step 2: Convert to fraction form
    77,253.48/115,881.30 = 21,849.48/x
  3. Step 3: Cross multiply
    77,253.48x = 115,881.30 × 21,849.48
  4. Step 4: Simplify right side
    77,253.48x = 2,531,946,146.72
  5. Step 5: Solve for x
    x = 2,531,946,146.72/77,253.48
  6. Step 6: Final answer
    x = 32,774.53

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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.