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Finding the Fourth Proportional to 31,187.42, 46,779.72 and 11,464.54

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Solution

The fourth proportional to 31,187.42, 46,779.72 and 11,464.54 is: 17,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,187.42 : 46,779.72 = 11,464.54 : x
  2. Step 2: Convert to fraction form
    31,187.42/46,779.72 = 11,464.54/x
  3. Step 3: Cross multiply
    31,187.42x = 46,779.72 × 11,464.54
  4. Step 4: Simplify right side
    31,187.42x = 536,307,971.13
  5. Step 5: Solve for x
    x = 536,307,971.13/31,187.42
  6. Step 6: Final answer
    x = 17,196.29

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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.