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Finding the Fourth Proportional to 70,585.56, 105,897.78 and 23,871.24

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Solution

The fourth proportional to 70,585.56, 105,897.78 and 23,871.24 is: 35,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,585.56 : 105,897.78 = 23,871.24 : x
  2. Step 2: Convert to fraction form
    70,585.56/105,897.78 = 23,871.24/x
  3. Step 3: Cross multiply
    70,585.56x = 105,897.78 × 23,871.24
  4. Step 4: Simplify right side
    70,585.56x = 2,527,911,321.85
  5. Step 5: Solve for x
    x = 2,527,911,321.85/70,585.56
  6. Step 6: Final answer
    x = 35,813.43

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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.