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Finding the Fourth Proportional to 30,537.80, 45,814.80 and 10,814.30

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Solution

The fourth proportional to 30,537.80, 45,814.80 and 10,814.30 is: 16,224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,537.80 : 45,814.80 = 10,814.30 : x
  2. Step 2: Convert to fraction form
    30,537.80/45,814.80 = 10,814.30/x
  3. Step 3: Cross multiply
    30,537.80x = 45,814.80 × 10,814.30
  4. Step 4: Simplify right side
    30,537.80x = 495,454,991.64
  5. Step 5: Solve for x
    x = 495,454,991.64/30,537.80
  6. Step 6: Final answer
    x = 16,224.32

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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.