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Finding the Fourth Proportional to 30,476, 42,039.95 and 17,727.75

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Solution

The fourth proportional to 30,476, 42,039.95 and 17,727.75 is: 24,454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476 : 42,039.95 = 17,727.75 : x
  2. Step 2: Convert to fraction form
    30,476/42,039.95 = 17,727.75/x
  3. Step 3: Cross multiply
    30,476x = 42,039.95 × 17,727.75
  4. Step 4: Simplify right side
    30,476x = 745,273,723.61
  5. Step 5: Solve for x
    x = 745,273,723.61/30,476
  6. Step 6: Final answer
    x = 24,454.45

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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.