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Finding the Fourth Proportional to 55,178, 82,779.96 and 18,242

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Solution

The fourth proportional to 55,178, 82,779.96 and 18,242 is: 27,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,178 : 82,779.96 = 18,242 : x
  2. Step 2: Convert to fraction form
    55,178/82,779.96 = 18,242/x
  3. Step 3: Cross multiply
    55,178x = 82,779.96 × 18,242
  4. Step 4: Simplify right side
    55,178x = 1,510,072,030.32
  5. Step 5: Solve for x
    x = 1,510,072,030.32/55,178
  6. Step 6: Final answer
    x = 27,367.28

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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.