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Finding the Fourth Proportional to 30,212.48, 45,310.80 and 13,563.20

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Solution

The fourth proportional to 30,212.48, 45,310.80 and 13,563.20 is: 20,341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,212.48 : 45,310.80 = 13,563.20 : x
  2. Step 2: Convert to fraction form
    30,212.48/45,310.80 = 13,563.20/x
  3. Step 3: Cross multiply
    30,212.48x = 45,310.80 × 13,563.20
  4. Step 4: Simplify right side
    30,212.48x = 614,559,442.56
  5. Step 5: Solve for x
    x = 614,559,442.56/30,212.48
  6. Step 6: Final answer
    x = 20,341.24

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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.