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Finding the Fourth Proportional to 49,674.68, 74,505.67 and 16,386.50

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Solution

The fourth proportional to 49,674.68, 74,505.67 and 16,386.50 is: 24,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,674.68 : 74,505.67 = 16,386.50 : x
  2. Step 2: Convert to fraction form
    49,674.68/74,505.67 = 16,386.50/x
  3. Step 3: Cross multiply
    49,674.68x = 74,505.67 × 16,386.50
  4. Step 4: Simplify right side
    49,674.68x = 1,220,887,398.93
  5. Step 5: Solve for x
    x = 1,220,887,398.93/49,674.68
  6. Step 6: Final answer
    x = 24,577.66

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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.