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Finding the Fourth Proportional to 70,045.73, 105,032.10 and 25,049.75

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Solution

The fourth proportional to 70,045.73, 105,032.10 and 25,049.75 is: 37,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,045.73 : 105,032.10 = 25,049.75 : x
  2. Step 2: Convert to fraction form
    70,045.73/105,032.10 = 25,049.75/x
  3. Step 3: Cross multiply
    70,045.73x = 105,032.10 × 25,049.75
  4. Step 4: Simplify right side
    70,045.73x = 2,631,027,846.98
  5. Step 5: Solve for x
    x = 2,631,027,846.98/70,045.73
  6. Step 6: Final answer
    x = 37,561.57

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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.