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Finding the Fourth Proportional to 30,123.20, 45,184.80 and 20,100.80

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Solution

The fourth proportional to 30,123.20, 45,184.80 and 20,100.80 is: 30,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,123.20 : 45,184.80 = 20,100.80 : x
  2. Step 2: Convert to fraction form
    30,123.20/45,184.80 = 20,100.80/x
  3. Step 3: Cross multiply
    30,123.20x = 45,184.80 × 20,100.80
  4. Step 4: Simplify right side
    30,123.20x = 908,250,627.84
  5. Step 5: Solve for x
    x = 908,250,627.84/30,123.20
  6. Step 6: Final answer
    x = 30,151.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.