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Finding the Fourth Proportional to 64,265.32, 96,378.54 and 37,963

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Solution

The fourth proportional to 64,265.32, 96,378.54 and 37,963 is: 56,933.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,265.32 : 96,378.54 = 37,963 : x
  2. Step 2: Convert to fraction form
    64,265.32/96,378.54 = 37,963/x
  3. Step 3: Cross multiply
    64,265.32x = 96,378.54 × 37,963
  4. Step 4: Simplify right side
    64,265.32x = 3,658,818,514.02
  5. Step 5: Solve for x
    x = 3,658,818,514.02/64,265.32
  6. Step 6: Final answer
    x = 56,933.02

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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.