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Finding the Fourth Proportional to 30,234.20, 45,351.30 and 28,047.20

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Solution

The fourth proportional to 30,234.20, 45,351.30 and 28,047.20 is: 42,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234.20 : 45,351.30 = 28,047.20 : x
  2. Step 2: Convert to fraction form
    30,234.20/45,351.30 = 28,047.20/x
  3. Step 3: Cross multiply
    30,234.20x = 45,351.30 × 28,047.20
  4. Step 4: Simplify right side
    30,234.20x = 1,271,976,981.36
  5. Step 5: Solve for x
    x = 1,271,976,981.36/30,234.20
  6. Step 6: Final answer
    x = 42,070.80

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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.