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Finding the Fourth Proportional to 90,465.60, 135,674.10 and 37,864.20

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Solution

The fourth proportional to 90,465.60, 135,674.10 and 37,864.20 is: 56,786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,465.60 : 135,674.10 = 37,864.20 : x
  2. Step 2: Convert to fraction form
    90,465.60/135,674.10 = 37,864.20/x
  3. Step 3: Cross multiply
    90,465.60x = 135,674.10 × 37,864.20
  4. Step 4: Simplify right side
    90,465.60x = 5,137,191,257.22
  5. Step 5: Solve for x
    x = 5,137,191,257.22/90,465.60
  6. Step 6: Final answer
    x = 56,786.13

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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.