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Finding the Fourth Proportional to 38,419.32, 57,606.12 and 18,678

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Solution

The fourth proportional to 38,419.32, 57,606.12 and 18,678 is: 28,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,419.32 : 57,606.12 = 18,678 : x
  2. Step 2: Convert to fraction form
    38,419.32/57,606.12 = 18,678/x
  3. Step 3: Cross multiply
    38,419.32x = 57,606.12 × 18,678
  4. Step 4: Simplify right side
    38,419.32x = 1,075,967,109.36
  5. Step 5: Solve for x
    x = 1,075,967,109.36/38,419.32
  6. Step 6: Final answer
    x = 28,005.89

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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.