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Finding the Fourth Proportional to 30,794.92, 46,206.28 and 17,647.31

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Solution

The fourth proportional to 30,794.92, 46,206.28 and 17,647.31 is: 26,478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.92 : 46,206.28 = 17,647.31 : x
  2. Step 2: Convert to fraction form
    30,794.92/46,206.28 = 17,647.31/x
  3. Step 3: Cross multiply
    30,794.92x = 46,206.28 × 17,647.31
  4. Step 4: Simplify right side
    30,794.92x = 815,416,547.11
  5. Step 5: Solve for x
    x = 815,416,547.11/30,794.92
  6. Step 6: Final answer
    x = 26,478.93

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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.