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Finding the Fourth Proportional to 64,384.63, 96,604.70 and 34,823.28

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Solution

The fourth proportional to 64,384.63, 96,604.70 and 34,823.28 is: 52,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,384.63 : 96,604.70 = 34,823.28 : x
  2. Step 2: Convert to fraction form
    64,384.63/96,604.70 = 34,823.28/x
  3. Step 3: Cross multiply
    64,384.63x = 96,604.70 × 34,823.28
  4. Step 4: Simplify right side
    64,384.63x = 3,364,092,418.42
  5. Step 5: Solve for x
    x = 3,364,092,418.42/64,384.63
  6. Step 6: Final answer
    x = 52,249.93

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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.