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Finding the Fourth Proportional to 30,950.22, 46,420.80 and 9,892.62

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Solution

The fourth proportional to 30,950.22, 46,420.80 and 9,892.62 is: 14,837.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.22 : 46,420.80 = 9,892.62 : x
  2. Step 2: Convert to fraction form
    30,950.22/46,420.80 = 9,892.62/x
  3. Step 3: Cross multiply
    30,950.22x = 46,420.80 × 9,892.62
  4. Step 4: Simplify right side
    30,950.22x = 459,223,334.50
  5. Step 5: Solve for x
    x = 459,223,334.50/30,950.22
  6. Step 6: Final answer
    x = 14,837.48

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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.