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Finding the Fourth Proportional to 30,541.83, 45,813.30 and 20,078.52

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Solution

The fourth proportional to 30,541.83, 45,813.30 and 20,078.52 is: 30,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541.83 : 45,813.30 = 20,078.52 : x
  2. Step 2: Convert to fraction form
    30,541.83/45,813.30 = 20,078.52/x
  3. Step 3: Cross multiply
    30,541.83x = 45,813.30 × 20,078.52
  4. Step 4: Simplify right side
    30,541.83x = 919,863,260.32
  5. Step 5: Solve for x
    x = 919,863,260.32/30,541.83
  6. Step 6: Final answer
    x = 30,118.14

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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.