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Finding the Fourth Proportional to 64,242, 96,299.01 and 30,952.62

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Solution

The fourth proportional to 64,242, 96,299.01 and 30,952.62 is: 46,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,242 : 96,299.01 = 30,952.62 : x
  2. Step 2: Convert to fraction form
    64,242/96,299.01 = 30,952.62/x
  3. Step 3: Cross multiply
    64,242x = 96,299.01 × 30,952.62
  4. Step 4: Simplify right side
    64,242x = 2,980,706,662.91
  5. Step 5: Solve for x
    x = 2,980,706,662.91/64,242
  6. Step 6: Final answer
    x = 46,398.10

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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.