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Finding the Fourth Proportional to 49,533, 74,311.02 and 16,701

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Solution

The fourth proportional to 49,533, 74,311.02 and 16,701 is: 25,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,533 : 74,311.02 = 16,701 : x
  2. Step 2: Convert to fraction form
    49,533/74,311.02 = 16,701/x
  3. Step 3: Cross multiply
    49,533x = 74,311.02 × 16,701
  4. Step 4: Simplify right side
    49,533x = 1,241,068,345.02
  5. Step 5: Solve for x
    x = 1,241,068,345.02/49,533
  6. Step 6: Final answer
    x = 25,055.38

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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.