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Finding the Fourth Proportional to 34,800.20, 48,002.38 and 20,643

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Solution

The fourth proportional to 34,800.20, 48,002.38 and 20,643 is: 28,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,800.20 : 48,002.38 = 20,643 : x
  2. Step 2: Convert to fraction form
    34,800.20/48,002.38 = 20,643/x
  3. Step 3: Cross multiply
    34,800.20x = 48,002.38 × 20,643
  4. Step 4: Simplify right side
    34,800.20x = 990,913,130.34
  5. Step 5: Solve for x
    x = 990,913,130.34/34,800.20
  6. Step 6: Final answer
    x = 28,474.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.