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Finding the Fourth Proportional to 30,497.64, 45,715.14 and 17,321.88

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Solution

The fourth proportional to 30,497.64, 45,715.14 and 17,321.88 is: 25,965.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.64 : 45,715.14 = 17,321.88 : x
  2. Step 2: Convert to fraction form
    30,497.64/45,715.14 = 17,321.88/x
  3. Step 3: Cross multiply
    30,497.64x = 45,715.14 × 17,321.88
  4. Step 4: Simplify right side
    30,497.64x = 791,872,169.26
  5. Step 5: Solve for x
    x = 791,872,169.26/30,497.64
  6. Step 6: Final answer
    x = 25,965.03

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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.