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Finding the Fourth Proportional to 49,674, 74,513.16 and 14,616.66

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Solution

The fourth proportional to 49,674, 74,513.16 and 14,616.66 is: 21,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,674 : 74,513.16 = 14,616.66 : x
  2. Step 2: Convert to fraction form
    49,674/74,513.16 = 14,616.66/x
  3. Step 3: Cross multiply
    49,674x = 74,513.16 × 14,616.66
  4. Step 4: Simplify right side
    49,674x = 1,089,133,525.25
  5. Step 5: Solve for x
    x = 1,089,133,525.25/49,674
  6. Step 6: Final answer
    x = 21,925.63

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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.