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Finding the Fourth Proportional to 64,015.26, 95,894.28 and 31,897.46

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Solution

The fourth proportional to 64,015.26, 95,894.28 and 31,897.46 is: 47,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,015.26 : 95,894.28 = 31,897.46 : x
  2. Step 2: Convert to fraction form
    64,015.26/95,894.28 = 31,897.46/x
  3. Step 3: Cross multiply
    64,015.26x = 95,894.28 × 31,897.46
  4. Step 4: Simplify right side
    64,015.26x = 3,058,783,481.06
  5. Step 5: Solve for x
    x = 3,058,783,481.06/64,015.26
  6. Step 6: Final answer
    x = 47,782.10

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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.