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Finding the Fourth Proportional to 49,567.68, 74,336.16 and 16,728

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Solution

The fourth proportional to 49,567.68, 74,336.16 and 16,728 is: 25,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,567.68 : 74,336.16 = 16,728 : x
  2. Step 2: Convert to fraction form
    49,567.68/74,336.16 = 16,728/x
  3. Step 3: Cross multiply
    49,567.68x = 74,336.16 × 16,728
  4. Step 4: Simplify right side
    49,567.68x = 1,243,495,284.48
  5. Step 5: Solve for x
    x = 1,243,495,284.48/49,567.68
  6. Step 6: Final answer
    x = 25,086.82

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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.