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Finding the Fourth Proportional to 30,969.96, 46,457.82 and 10,193.64

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Solution

The fourth proportional to 30,969.96, 46,457.82 and 10,193.64 is: 15,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.96 : 46,457.82 = 10,193.64 : x
  2. Step 2: Convert to fraction form
    30,969.96/46,457.82 = 10,193.64/x
  3. Step 3: Cross multiply
    30,969.96x = 46,457.82 × 10,193.64
  4. Step 4: Simplify right side
    30,969.96x = 473,574,292.26
  5. Step 5: Solve for x
    x = 473,574,292.26/30,969.96
  6. Step 6: Final answer
    x = 15,291.41

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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.