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Finding the Fourth Proportional to 64,144.90, 96,202.77 and 30,844.18

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Solution

The fourth proportional to 64,144.90, 96,202.77 and 30,844.18 is: 46,259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,144.90 : 96,202.77 = 30,844.18 : x
  2. Step 2: Convert to fraction form
    64,144.90/96,202.77 = 30,844.18/x
  3. Step 3: Cross multiply
    64,144.90x = 96,202.77 × 30,844.18
  4. Step 4: Simplify right side
    64,144.90x = 2,967,295,554.38
  5. Step 5: Solve for x
    x = 2,967,295,554.38/64,144.90
  6. Step 6: Final answer
    x = 46,259.26

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1.5x scale

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.