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Finding the Fourth Proportional to 53,740.68, 80,624.79 and 37,977

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Solution

The fourth proportional to 53,740.68, 80,624.79 and 37,977 is: 56,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,740.68 : 80,624.79 = 37,977 : x
  2. Step 2: Convert to fraction form
    53,740.68/80,624.79 = 37,977/x
  3. Step 3: Cross multiply
    53,740.68x = 80,624.79 × 37,977
  4. Step 4: Simplify right side
    53,740.68x = 3,061,887,649.83
  5. Step 5: Solve for x
    x = 3,061,887,649.83/53,740.68
  6. Step 6: Final answer
    x = 56,975.23

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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.