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Finding the Fourth Proportional to 30,779.95, 46,171.30 and 9,431.09

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Solution

The fourth proportional to 30,779.95, 46,171.30 and 9,431.09 is: 14,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,779.95 : 46,171.30 = 9,431.09 : x
  2. Step 2: Convert to fraction form
    30,779.95/46,171.30 = 9,431.09/x
  3. Step 3: Cross multiply
    30,779.95x = 46,171.30 × 9,431.09
  4. Step 4: Simplify right side
    30,779.95x = 435,445,908.35
  5. Step 5: Solve for x
    x = 435,445,908.35/30,779.95
  6. Step 6: Final answer
    x = 14,147.07

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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.