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Finding the Fourth Proportional to 70,439.12, 105,676.04 and 20,519.63

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Solution

The fourth proportional to 70,439.12, 105,676.04 and 20,519.63 is: 30,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,439.12 : 105,676.04 = 20,519.63 : x
  2. Step 2: Convert to fraction form
    70,439.12/105,676.04 = 20,519.63/x
  3. Step 3: Cross multiply
    70,439.12x = 105,676.04 × 20,519.63
  4. Step 4: Simplify right side
    70,439.12x = 2,168,433,159.87
  5. Step 5: Solve for x
    x = 2,168,433,159.87/70,439.12
  6. Step 6: Final answer
    x = 30,784.50

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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.