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Finding the Fourth Proportional to 30,567.70, 45,849.66 and 10,843.66

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Solution

The fourth proportional to 30,567.70, 45,849.66 and 10,843.66 is: 16,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,567.70 : 45,849.66 = 10,843.66 : x
  2. Step 2: Convert to fraction form
    30,567.70/45,849.66 = 10,843.66/x
  3. Step 3: Cross multiply
    30,567.70x = 45,849.66 × 10,843.66
  4. Step 4: Simplify right side
    30,567.70x = 497,178,124.16
  5. Step 5: Solve for x
    x = 497,178,124.16/30,567.70
  6. Step 6: Final answer
    x = 16,264.82

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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.