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Finding the Fourth Proportional to 30,561.84, 45,846 and 10,842.12

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Solution

The fourth proportional to 30,561.84, 45,846 and 10,842.12 is: 16,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,561.84 : 45,846 = 10,842.12 : x
  2. Step 2: Convert to fraction form
    30,561.84/45,846 = 10,842.12/x
  3. Step 3: Cross multiply
    30,561.84x = 45,846 × 10,842.12
  4. Step 4: Simplify right side
    30,561.84x = 497,067,833.52
  5. Step 5: Solve for x
    x = 497,067,833.52/30,561.84
  6. Step 6: Final answer
    x = 16,264.33

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1.5x scale

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.