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Finding the Fourth Proportional to 30,140.99, 45,202.26 and 20,840.78

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Solution

The fourth proportional to 30,140.99, 45,202.26 and 20,840.78 is: 31,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,140.99 : 45,202.26 = 20,840.78 : x
  2. Step 2: Convert to fraction form
    30,140.99/45,202.26 = 20,840.78/x
  3. Step 3: Cross multiply
    30,140.99x = 45,202.26 × 20,840.78
  4. Step 4: Simplify right side
    30,140.99x = 942,050,108.50
  5. Step 5: Solve for x
    x = 942,050,108.50/30,140.99
  6. Step 6: Final answer
    x = 31,254.78

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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.