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Finding the Fourth Proportional to 30,455.20, 45,703.20 and 10,733.80

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Solution

The fourth proportional to 30,455.20, 45,703.20 and 10,733.80 is: 16,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,455.20 : 45,703.20 = 10,733.80 : x
  2. Step 2: Convert to fraction form
    30,455.20/45,703.20 = 10,733.80/x
  3. Step 3: Cross multiply
    30,455.20x = 45,703.20 × 10,733.80
  4. Step 4: Simplify right side
    30,455.20x = 490,569,008.16
  5. Step 5: Solve for x
    x = 490,569,008.16/30,455.20
  6. Step 6: Final answer
    x = 16,107.89

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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.