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Finding the Fourth Proportional to 49,884.71, 74,827.76 and 16,604.90

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Solution

The fourth proportional to 49,884.71, 74,827.76 and 16,604.90 is: 24,907.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,884.71 : 74,827.76 = 16,604.90 : x
  2. Step 2: Convert to fraction form
    49,884.71/74,827.76 = 16,604.90/x
  3. Step 3: Cross multiply
    49,884.71x = 74,827.76 × 16,604.90
  4. Step 4: Simplify right side
    49,884.71x = 1,242,507,014.86
  5. Step 5: Solve for x
    x = 1,242,507,014.86/49,884.71
  6. Step 6: Final answer
    x = 24,907.57

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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.