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Finding the Fourth Proportional to 30,892.74, 46,339.35 and 20,228.08

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Solution

The fourth proportional to 30,892.74, 46,339.35 and 20,228.08 is: 30,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.74 : 46,339.35 = 20,228.08 : x
  2. Step 2: Convert to fraction form
    30,892.74/46,339.35 = 20,228.08/x
  3. Step 3: Cross multiply
    30,892.74x = 46,339.35 × 20,228.08
  4. Step 4: Simplify right side
    30,892.74x = 937,356,161.35
  5. Step 5: Solve for x
    x = 937,356,161.35/30,892.74
  6. Step 6: Final answer
    x = 30,342.28

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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.