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Finding the Fourth Proportional to 30,302.19, 41,814.87 and 18,971.16

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Solution

The fourth proportional to 30,302.19, 41,814.87 and 18,971.16 is: 26,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,302.19 : 41,814.87 = 18,971.16 : x
  2. Step 2: Convert to fraction form
    30,302.19/41,814.87 = 18,971.16/x
  3. Step 3: Cross multiply
    30,302.19x = 41,814.87 × 18,971.16
  4. Step 4: Simplify right side
    30,302.19x = 793,276,589.15
  5. Step 5: Solve for x
    x = 793,276,589.15/30,302.19
  6. Step 6: Final answer
    x = 26,178.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.