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Finding the Fourth Proportional to 100,030.14, 150,084.09 and 37,744.38

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Solution

The fourth proportional to 100,030.14, 150,084.09 and 37,744.38 is: 56,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,030.14 : 150,084.09 = 37,744.38 : x
  2. Step 2: Convert to fraction form
    100,030.14/150,084.09 = 37,744.38/x
  3. Step 3: Cross multiply
    100,030.14x = 150,084.09 × 37,744.38
  4. Step 4: Simplify right side
    100,030.14x = 5,664,830,924.91
  5. Step 5: Solve for x
    x = 5,664,830,924.91/100,030.14
  6. Step 6: Final answer
    x = 56,631.24

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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.