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Finding the Fourth Proportional to 30,669.68, 46,012.90 and 10,950.24

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Solution

The fourth proportional to 30,669.68, 46,012.90 and 10,950.24 is: 16,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,669.68 : 46,012.90 = 10,950.24 : x
  2. Step 2: Convert to fraction form
    30,669.68/46,012.90 = 10,950.24/x
  3. Step 3: Cross multiply
    30,669.68x = 46,012.90 × 10,950.24
  4. Step 4: Simplify right side
    30,669.68x = 503,852,298.10
  5. Step 5: Solve for x
    x = 503,852,298.10/30,669.68
  6. Step 6: Final answer
    x = 16,428.35

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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.