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Finding the Fourth Proportional to 64,184.52, 96,196.50 and 30,895.68

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Solution

The fourth proportional to 64,184.52, 96,196.50 and 30,895.68 is: 46,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,184.52 : 96,196.50 = 30,895.68 : x
  2. Step 2: Convert to fraction form
    64,184.52/96,196.50 = 30,895.68/x
  3. Step 3: Cross multiply
    64,184.52x = 96,196.50 × 30,895.68
  4. Step 4: Simplify right side
    64,184.52x = 2,972,056,281.12
  5. Step 5: Solve for x
    x = 2,972,056,281.12/64,184.52
  6. Step 6: Final answer
    x = 46,304.88

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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.