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Finding the Fourth Proportional to 51,051.14, 70,447.10 and 30,919.20

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Solution

The fourth proportional to 51,051.14, 70,447.10 and 30,919.20 is: 42,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,051.14 : 70,447.10 = 30,919.20 : x
  2. Step 2: Convert to fraction form
    51,051.14/70,447.10 = 30,919.20/x
  3. Step 3: Cross multiply
    51,051.14x = 70,447.10 × 30,919.20
  4. Step 4: Simplify right side
    51,051.14x = 2,178,167,974.32
  5. Step 5: Solve for x
    x = 2,178,167,974.32/51,051.14
  6. Step 6: Final answer
    x = 42,666.39

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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.