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Finding the Fourth Proportional to 30,854.76, 42,579.50 and 17,425.38

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Solution

The fourth proportional to 30,854.76, 42,579.50 and 17,425.38 is: 24,046.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854.76 : 42,579.50 = 17,425.38 : x
  2. Step 2: Convert to fraction form
    30,854.76/42,579.50 = 17,425.38/x
  3. Step 3: Cross multiply
    30,854.76x = 42,579.50 × 17,425.38
  4. Step 4: Simplify right side
    30,854.76x = 741,963,967.71
  5. Step 5: Solve for x
    x = 741,963,967.71/30,854.76
  6. Step 6: Final answer
    x = 24,046.99

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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.