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Finding the Fourth Proportional to 64,148.49, 96,223.95 and 22,028.31

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Solution

The fourth proportional to 64,148.49, 96,223.95 and 22,028.31 is: 33,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,148.49 : 96,223.95 = 22,028.31 : x
  2. Step 2: Convert to fraction form
    64,148.49/96,223.95 = 22,028.31/x
  3. Step 3: Cross multiply
    64,148.49x = 96,223.95 × 22,028.31
  4. Step 4: Simplify right side
    64,148.49x = 2,119,651,000.02
  5. Step 5: Solve for x
    x = 2,119,651,000.02/64,148.49
  6. Step 6: Final answer
    x = 33,042.88

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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.