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Finding the Fourth Proportional to 64,512.99, 96,782.94 and 32,510.06

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Solution

The fourth proportional to 64,512.99, 96,782.94 and 32,510.06 is: 48,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,512.99 : 96,782.94 = 32,510.06 : x
  2. Step 2: Convert to fraction form
    64,512.99/96,782.94 = 32,510.06/x
  3. Step 3: Cross multiply
    64,512.99x = 96,782.94 × 32,510.06
  4. Step 4: Simplify right side
    64,512.99x = 3,146,419,156.83
  5. Step 5: Solve for x
    x = 3,146,419,156.83/64,512.99
  6. Step 6: Final answer
    x = 48,771.87

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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.