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Finding the Fourth Proportional to 30,814.60, 46,221.90 and 10,040.20

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Solution

The fourth proportional to 30,814.60, 46,221.90 and 10,040.20 is: 15,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814.60 : 46,221.90 = 10,040.20 : x
  2. Step 2: Convert to fraction form
    30,814.60/46,221.90 = 10,040.20/x
  3. Step 3: Cross multiply
    30,814.60x = 46,221.90 × 10,040.20
  4. Step 4: Simplify right side
    30,814.60x = 464,077,120.38
  5. Step 5: Solve for x
    x = 464,077,120.38/30,814.60
  6. Step 6: Final answer
    x = 15,060.30

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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.