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Finding the Fourth Proportional to 31,186.89, 46,779.93 and 7,813.53

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Solution

The fourth proportional to 31,186.89, 46,779.93 and 7,813.53 is: 11,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,186.89 : 46,779.93 = 7,813.53 : x
  2. Step 2: Convert to fraction form
    31,186.89/46,779.93 = 7,813.53/x
  3. Step 3: Cross multiply
    31,186.89x = 46,779.93 × 7,813.53
  4. Step 4: Simplify right side
    31,186.89x = 365,516,386.45
  5. Step 5: Solve for x
    x = 365,516,386.45/31,186.89
  6. Step 6: Final answer
    x = 11,720.19

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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.