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Finding the Fourth Proportional to 100,094.46, 150,185.63 and 37,750.38

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Solution

The fourth proportional to 100,094.46, 150,185.63 and 37,750.38 is: 56,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,094.46 : 150,185.63 = 37,750.38 : x
  2. Step 2: Convert to fraction form
    100,094.46/150,185.63 = 37,750.38/x
  3. Step 3: Cross multiply
    100,094.46x = 150,185.63 × 37,750.38
  4. Step 4: Simplify right side
    100,094.46x = 5,669,564,603.04
  5. Step 5: Solve for x
    x = 5,669,564,603.04/100,094.46
  6. Step 6: Final answer
    x = 56,642.14

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1.5x scale

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.