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Finding the Fourth Proportional to 30,585, 42,207.38 and 17,846.94

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Solution

The fourth proportional to 30,585, 42,207.38 and 17,846.94 is: 24,628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,585 : 42,207.38 = 17,846.94 : x
  2. Step 2: Convert to fraction form
    30,585/42,207.38 = 17,846.94/x
  3. Step 3: Cross multiply
    30,585x = 42,207.38 × 17,846.94
  4. Step 4: Simplify right side
    30,585x = 753,272,578.42
  5. Step 5: Solve for x
    x = 753,272,578.42/30,585
  6. Step 6: Final answer
    x = 24,628.82

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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.