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Finding the Fourth Proportional to 66,946.50, 100,423.80 and 20,199.78

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Solution

The fourth proportional to 66,946.50, 100,423.80 and 20,199.78 is: 30,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,946.50 : 100,423.80 = 20,199.78 : x
  2. Step 2: Convert to fraction form
    66,946.50/100,423.80 = 20,199.78/x
  3. Step 3: Cross multiply
    66,946.50x = 100,423.80 × 20,199.78
  4. Step 4: Simplify right side
    66,946.50x = 2,028,538,666.76
  5. Step 5: Solve for x
    x = 2,028,538,666.76/66,946.50
  6. Step 6: Final answer
    x = 30,300.89

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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.