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Finding the Fourth Proportional to 90,423.26, 135,642.26 and 45,421.46

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Solution

The fourth proportional to 90,423.26, 135,642.26 and 45,421.46 is: 68,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,423.26 : 135,642.26 = 45,421.46 : x
  2. Step 2: Convert to fraction form
    90,423.26/135,642.26 = 45,421.46/x
  3. Step 3: Cross multiply
    90,423.26x = 135,642.26 × 45,421.46
  4. Step 4: Simplify right side
    90,423.26x = 6,161,069,259.79
  5. Step 5: Solve for x
    x = 6,161,069,259.79/90,423.26
  6. Step 6: Final answer
    x = 68,135.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.