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Finding the Fourth Proportional to 20,470.02, 30,705.02 and 5,678.94

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Solution

The fourth proportional to 20,470.02, 30,705.02 and 5,678.94 is: 8,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,470.02 : 30,705.02 = 5,678.94 : x
  2. Step 2: Convert to fraction form
    20,470.02/30,705.02 = 5,678.94/x
  3. Step 3: Cross multiply
    20,470.02x = 30,705.02 × 5,678.94
  4. Step 4: Simplify right side
    20,470.02x = 174,371,966.28
  5. Step 5: Solve for x
    x = 174,371,966.28/20,470.02
  6. Step 6: Final answer
    x = 8,518.41

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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.