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Finding the Fourth Proportional to 100,013.52, 149,931.99 and 37,727.76

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Solution

The fourth proportional to 100,013.52, 149,931.99 and 37,727.76 is: 56,558.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,013.52 : 149,931.99 = 37,727.76 : x
  2. Step 2: Convert to fraction form
    100,013.52/149,931.99 = 37,727.76/x
  3. Step 3: Cross multiply
    100,013.52x = 149,931.99 × 37,727.76
  4. Step 4: Simplify right side
    100,013.52x = 5,656,598,135.04
  5. Step 5: Solve for x
    x = 5,656,598,135.04/100,013.52
  6. Step 6: Final answer
    x = 56,558.33

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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.