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Finding the Fourth Proportional to 30,885.84, 46,291.50 and 14,223.06

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Solution

The fourth proportional to 30,885.84, 46,291.50 and 14,223.06 is: 21,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885.84 : 46,291.50 = 14,223.06 : x
  2. Step 2: Convert to fraction form
    30,885.84/46,291.50 = 14,223.06/x
  3. Step 3: Cross multiply
    30,885.84x = 46,291.50 × 14,223.06
  4. Step 4: Simplify right side
    30,885.84x = 658,406,781.99
  5. Step 5: Solve for x
    x = 658,406,781.99/30,885.84
  6. Step 6: Final answer
    x = 21,317.43

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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.