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Finding the Fourth Proportional to 20,051.40, 30,077.10 and 14,219.40

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Solution

The fourth proportional to 20,051.40, 30,077.10 and 14,219.40 is: 21,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051.40 : 30,077.10 = 14,219.40 : x
  2. Step 2: Convert to fraction form
    20,051.40/30,077.10 = 14,219.40/x
  3. Step 3: Cross multiply
    20,051.40x = 30,077.10 × 14,219.40
  4. Step 4: Simplify right side
    20,051.40x = 427,678,315.74
  5. Step 5: Solve for x
    x = 427,678,315.74/20,051.40
  6. Step 6: Final answer
    x = 21,329.10

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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.