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Finding the Fourth Proportional to 30,492.88, 45,739.32 and 20,102.20

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Solution

The fourth proportional to 30,492.88, 45,739.32 and 20,102.20 is: 30,153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.88 : 45,739.32 = 20,102.20 : x
  2. Step 2: Convert to fraction form
    30,492.88/45,739.32 = 20,102.20/x
  3. Step 3: Cross multiply
    30,492.88x = 45,739.32 × 20,102.20
  4. Step 4: Simplify right side
    30,492.88x = 919,460,958.50
  5. Step 5: Solve for x
    x = 919,460,958.50/30,492.88
  6. Step 6: Final answer
    x = 30,153.30

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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.