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Finding the Fourth Proportional to 30,808.74, 46,218.82 and 9,754.08

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Solution

The fourth proportional to 30,808.74, 46,218.82 and 9,754.08 is: 14,632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,808.74 : 46,218.82 = 9,754.08 : x
  2. Step 2: Convert to fraction form
    30,808.74/46,218.82 = 9,754.08/x
  3. Step 3: Cross multiply
    30,808.74x = 46,218.82 × 9,754.08
  4. Step 4: Simplify right side
    30,808.74x = 450,822,067.79
  5. Step 5: Solve for x
    x = 450,822,067.79/30,808.74
  6. Step 6: Final answer
    x = 14,632.93

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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.