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Finding the Fourth Proportional to 30,423.12, 45,634.77 and 9,363

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Solution

The fourth proportional to 30,423.12, 45,634.77 and 9,363 is: 14,044.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,423.12 : 45,634.77 = 9,363 : x
  2. Step 2: Convert to fraction form
    30,423.12/45,634.77 = 9,363/x
  3. Step 3: Cross multiply
    30,423.12x = 45,634.77 × 9,363
  4. Step 4: Simplify right side
    30,423.12x = 427,278,351.51
  5. Step 5: Solve for x
    x = 427,278,351.51/30,423.12
  6. Step 6: Final answer
    x = 14,044.53

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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.