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Finding the Fourth Proportional to 64,651.84, 96,946.49 and 22,530.92

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Solution

The fourth proportional to 64,651.84, 96,946.49 and 22,530.92 is: 33,785.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,651.84 : 96,946.49 = 22,530.92 : x
  2. Step 2: Convert to fraction form
    64,651.84/96,946.49 = 22,530.92/x
  3. Step 3: Cross multiply
    64,651.84x = 96,946.49 × 22,530.92
  4. Step 4: Simplify right side
    64,651.84x = 2,184,293,182.07
  5. Step 5: Solve for x
    x = 2,184,293,182.07/64,651.84
  6. Step 6: Final answer
    x = 33,785.48

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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.