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Finding the Fourth Proportional to 67,752.32, 101,497.25 and 32,716.58

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Solution

The fourth proportional to 67,752.32, 101,497.25 and 32,716.58 is: 49,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,752.32 : 101,497.25 = 32,716.58 : x
  2. Step 2: Convert to fraction form
    67,752.32/101,497.25 = 32,716.58/x
  3. Step 3: Cross multiply
    67,752.32x = 101,497.25 × 32,716.58
  4. Step 4: Simplify right side
    67,752.32x = 3,320,642,473.71
  5. Step 5: Solve for x
    x = 3,320,642,473.71/67,752.32
  6. Step 6: Final answer
    x = 49,011.50

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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.