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Finding the Fourth Proportional to 30,327, 41,851.53 and 17,752.02

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Solution

The fourth proportional to 30,327, 41,851.53 and 17,752.02 is: 24,497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,327 : 41,851.53 = 17,752.02 : x
  2. Step 2: Convert to fraction form
    30,327/41,851.53 = 17,752.02/x
  3. Step 3: Cross multiply
    30,327x = 41,851.53 × 17,752.02
  4. Step 4: Simplify right side
    30,327x = 742,949,197.59
  5. Step 5: Solve for x
    x = 742,949,197.59/30,327
  6. Step 6: Final answer
    x = 24,497.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.