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Finding the Fourth Proportional to 30,223.60, 45,335.40 and 20,892.40

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Solution

The fourth proportional to 30,223.60, 45,335.40 and 20,892.40 is: 31,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.60 : 45,335.40 = 20,892.40 : x
  2. Step 2: Convert to fraction form
    30,223.60/45,335.40 = 20,892.40/x
  3. Step 3: Cross multiply
    30,223.60x = 45,335.40 × 20,892.40
  4. Step 4: Simplify right side
    30,223.60x = 947,165,310.96
  5. Step 5: Solve for x
    x = 947,165,310.96/30,223.60
  6. Step 6: Final answer
    x = 31,338.60

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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.