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Finding the Fourth Proportional to 90,457.40, 135,661.80 and 31,311.20

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Solution

The fourth proportional to 90,457.40, 135,661.80 and 31,311.20 is: 46,958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,457.40 : 135,661.80 = 31,311.20 : x
  2. Step 2: Convert to fraction form
    90,457.40/135,661.80 = 31,311.20/x
  3. Step 3: Cross multiply
    90,457.40x = 135,661.80 × 31,311.20
  4. Step 4: Simplify right side
    90,457.40x = 4,247,733,752.16
  5. Step 5: Solve for x
    x = 4,247,733,752.16/90,457.40
  6. Step 6: Final answer
    x = 46,958.39

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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.