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Finding the Fourth Proportional to 52,274.73, 78,412.92 and 18,974.01

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Solution

The fourth proportional to 52,274.73, 78,412.92 and 18,974.01 is: 28,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,274.73 : 78,412.92 = 18,974.01 : x
  2. Step 2: Convert to fraction form
    52,274.73/78,412.92 = 18,974.01/x
  3. Step 3: Cross multiply
    52,274.73x = 78,412.92 × 18,974.01
  4. Step 4: Simplify right side
    52,274.73x = 1,487,807,528.21
  5. Step 5: Solve for x
    x = 1,487,807,528.21/52,274.73
  6. Step 6: Final answer
    x = 28,461.31

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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.