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Finding the Fourth Proportional to 34,008.96, 51,015.06 and 9,051.24

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Solution

The fourth proportional to 34,008.96, 51,015.06 and 9,051.24 is: 13,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,008.96 : 51,015.06 = 9,051.24 : x
  2. Step 2: Convert to fraction form
    34,008.96/51,015.06 = 9,051.24/x
  3. Step 3: Cross multiply
    34,008.96x = 51,015.06 × 9,051.24
  4. Step 4: Simplify right side
    34,008.96x = 461,749,551.67
  5. Step 5: Solve for x
    x = 461,749,551.67/34,008.96
  6. Step 6: Final answer
    x = 13,577.29

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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.