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Finding the Fourth Proportional to 37,133.50, 51,244.50 and 20,366.50

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Solution

The fourth proportional to 37,133.50, 51,244.50 and 20,366.50 is: 28,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,133.50 : 51,244.50 = 20,366.50 : x
  2. Step 2: Convert to fraction form
    37,133.50/51,244.50 = 20,366.50/x
  3. Step 3: Cross multiply
    37,133.50x = 51,244.50 × 20,366.50
  4. Step 4: Simplify right side
    37,133.50x = 1,043,671,109.25
  5. Step 5: Solve for x
    x = 1,043,671,109.25/37,133.50
  6. Step 6: Final answer
    x = 28,105.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.