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Finding the Fourth Proportional to 49,612.80, 74,354.40 and 20,006.40

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Solution

The fourth proportional to 49,612.80, 74,354.40 and 20,006.40 is: 29,983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,612.80 : 74,354.40 = 20,006.40 : x
  2. Step 2: Convert to fraction form
    49,612.80/74,354.40 = 20,006.40/x
  3. Step 3: Cross multiply
    49,612.80x = 74,354.40 × 20,006.40
  4. Step 4: Simplify right side
    49,612.80x = 1,487,563,868.16
  5. Step 5: Solve for x
    x = 1,487,563,868.16/49,612.80
  6. Step 6: Final answer
    x = 29,983.47

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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.