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Finding the Fourth Proportional to 70,537.40, 105,719.70 and 31,052.60

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Solution

The fourth proportional to 70,537.40, 105,719.70 and 31,052.60 is: 46,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,537.40 : 105,719.70 = 31,052.60 : x
  2. Step 2: Convert to fraction form
    70,537.40/105,719.70 = 31,052.60/x
  3. Step 3: Cross multiply
    70,537.40x = 105,719.70 × 31,052.60
  4. Step 4: Simplify right side
    70,537.40x = 3,282,871,556.22
  5. Step 5: Solve for x
    x = 3,282,871,556.22/70,537.40
  6. Step 6: Final answer
    x = 46,540.86

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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.