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Finding the Fourth Proportional to 73,965, 110,947.50 and 24,717

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Solution

The fourth proportional to 73,965, 110,947.50 and 24,717 is: 37,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,965 : 110,947.50 = 24,717 : x
  2. Step 2: Convert to fraction form
    73,965/110,947.50 = 24,717/x
  3. Step 3: Cross multiply
    73,965x = 110,947.50 × 24,717
  4. Step 4: Simplify right side
    73,965x = 2,742,289,357.50
  5. Step 5: Solve for x
    x = 2,742,289,357.50/73,965
  6. Step 6: Final answer
    x = 37,075.50

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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.