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Finding the Fourth Proportional to 52,011.98, 77,970.44 and 18,724.43

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Solution

The fourth proportional to 52,011.98, 77,970.44 and 18,724.43 is: 28,069.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,011.98 : 77,970.44 = 18,724.43 : x
  2. Step 2: Convert to fraction form
    52,011.98/77,970.44 = 18,724.43/x
  3. Step 3: Cross multiply
    52,011.98x = 77,970.44 × 18,724.43
  4. Step 4: Simplify right side
    52,011.98x = 1,459,951,562.37
  5. Step 5: Solve for x
    x = 1,459,951,562.37/52,011.98
  6. Step 6: Final answer
    x = 28,069.53

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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.