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Finding the Fourth Proportional to 30,950.85, 46,393.14 and 14,291.49

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Solution

The fourth proportional to 30,950.85, 46,393.14 and 14,291.49 is: 21,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.85 : 46,393.14 = 14,291.49 : x
  2. Step 2: Convert to fraction form
    30,950.85/46,393.14 = 14,291.49/x
  3. Step 3: Cross multiply
    30,950.85x = 46,393.14 × 14,291.49
  4. Step 4: Simplify right side
    30,950.85x = 663,027,096.38
  5. Step 5: Solve for x
    x = 663,027,096.38/30,950.85
  6. Step 6: Final answer
    x = 21,421.93

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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.