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Finding the Fourth Proportional to 100,075.60, 150,100.44 and 37,738

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Solution

The fourth proportional to 100,075.60, 150,100.44 and 37,738 is: 56,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,075.60 : 150,100.44 = 37,738 : x
  2. Step 2: Convert to fraction form
    100,075.60/150,100.44 = 37,738/x
  3. Step 3: Cross multiply
    100,075.60x = 150,100.44 × 37,738
  4. Step 4: Simplify right side
    100,075.60x = 5,664,490,404.72
  5. Step 5: Solve for x
    x = 5,664,490,404.72/100,075.60
  6. Step 6: Final answer
    x = 56,602.11

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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.