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Finding the Fourth Proportional to 101,374.68, 152,065.70 and 34,814.42

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Solution

The fourth proportional to 101,374.68, 152,065.70 and 34,814.42 is: 52,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,374.68 : 152,065.70 = 34,814.42 : x
  2. Step 2: Convert to fraction form
    101,374.68/152,065.70 = 34,814.42/x
  3. Step 3: Cross multiply
    101,374.68x = 152,065.70 × 34,814.42
  4. Step 4: Simplify right side
    101,374.68x = 5,294,078,212.99
  5. Step 5: Solve for x
    x = 5,294,078,212.99/101,374.68
  6. Step 6: Final answer
    x = 52,222.88

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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.