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Finding the Fourth Proportional to 64,322.64, 96,473.88 and 39,354

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Solution

The fourth proportional to 64,322.64, 96,473.88 and 39,354 is: 59,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,322.64 : 96,473.88 = 39,354 : x
  2. Step 2: Convert to fraction form
    64,322.64/96,473.88 = 39,354/x
  3. Step 3: Cross multiply
    64,322.64x = 96,473.88 × 39,354
  4. Step 4: Simplify right side
    64,322.64x = 3,796,633,073.52
  5. Step 5: Solve for x
    x = 3,796,633,073.52/64,322.64
  6. Step 6: Final answer
    x = 59,024.83

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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.