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Finding the Fourth Proportional to 30,903.93, 46,358.19 and 8,418.47

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Solution

The fourth proportional to 30,903.93, 46,358.19 and 8,418.47 is: 12,628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,903.93 : 46,358.19 = 8,418.47 : x
  2. Step 2: Convert to fraction form
    30,903.93/46,358.19 = 8,418.47/x
  3. Step 3: Cross multiply
    30,903.93x = 46,358.19 × 8,418.47
  4. Step 4: Simplify right side
    30,903.93x = 390,264,799.98
  5. Step 5: Solve for x
    x = 390,264,799.98/30,903.93
  6. Step 6: Final answer
    x = 12,628.32

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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.