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Finding the Fourth Proportional to 70,494.47, 105,769.40 and 31,023.90

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Solution

The fourth proportional to 70,494.47, 105,769.40 and 31,023.90 is: 46,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,494.47 : 105,769.40 = 31,023.90 : x
  2. Step 2: Convert to fraction form
    70,494.47/105,769.40 = 31,023.90/x
  3. Step 3: Cross multiply
    70,494.47x = 105,769.40 × 31,023.90
  4. Step 4: Simplify right side
    70,494.47x = 3,281,379,288.66
  5. Step 5: Solve for x
    x = 3,281,379,288.66/70,494.47
  6. Step 6: Final answer
    x = 46,548.04

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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.