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Finding the Fourth Proportional to 110,947.50, 166,421.25 and 37,075.50

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Solution

The fourth proportional to 110,947.50, 166,421.25 and 37,075.50 is: 55,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,947.50 : 166,421.25 = 37,075.50 : x
  2. Step 2: Convert to fraction form
    110,947.50/166,421.25 = 37,075.50/x
  3. Step 3: Cross multiply
    110,947.50x = 166,421.25 × 37,075.50
  4. Step 4: Simplify right side
    110,947.50x = 6,170,151,054.38
  5. Step 5: Solve for x
    x = 6,170,151,054.38/110,947.50
  6. Step 6: Final answer
    x = 55,613.25

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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.