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Finding the Fourth Proportional to 64,717.02, 97,035.89 and 25,228

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Solution

The fourth proportional to 64,717.02, 97,035.89 and 25,228 is: 37,826.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,717.02 : 97,035.89 = 25,228 : x
  2. Step 2: Convert to fraction form
    64,717.02/97,035.89 = 25,228/x
  3. Step 3: Cross multiply
    64,717.02x = 97,035.89 × 25,228
  4. Step 4: Simplify right side
    64,717.02x = 2,448,021,369.85
  5. Step 5: Solve for x
    x = 2,448,021,369.85/64,717.02
  6. Step 6: Final answer
    x = 37,826.55

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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.