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Finding the Fourth Proportional to 70,585.44, 105,849.90 and 31,114.50

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Solution

The fourth proportional to 70,585.44, 105,849.90 and 31,114.50 is: 46,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,585.44 : 105,849.90 = 31,114.50 : x
  2. Step 2: Convert to fraction form
    70,585.44/105,849.90 = 31,114.50/x
  3. Step 3: Cross multiply
    70,585.44x = 105,849.90 × 31,114.50
  4. Step 4: Simplify right side
    70,585.44x = 3,293,466,713.55
  5. Step 5: Solve for x
    x = 3,293,466,713.55/70,585.44
  6. Step 6: Final answer
    x = 46,659.29

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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.