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Finding the Fourth Proportional to 30,854.98, 46,265.01 and 9,791.02

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Solution

The fourth proportional to 30,854.98, 46,265.01 and 9,791.02 is: 14,680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854.98 : 46,265.01 = 9,791.02 : x
  2. Step 2: Convert to fraction form
    30,854.98/46,265.01 = 9,791.02/x
  3. Step 3: Cross multiply
    30,854.98x = 46,265.01 × 9,791.02
  4. Step 4: Simplify right side
    30,854.98x = 452,981,638.21
  5. Step 5: Solve for x
    x = 452,981,638.21/30,854.98
  6. Step 6: Final answer
    x = 14,680.99

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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.