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Finding the Fourth Proportional to 31,303.81, 46,950.72 and 11,577.88

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Solution

The fourth proportional to 31,303.81, 46,950.72 and 11,577.88 is: 17,364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,303.81 : 46,950.72 = 11,577.88 : x
  2. Step 2: Convert to fraction form
    31,303.81/46,950.72 = 11,577.88/x
  3. Step 3: Cross multiply
    31,303.81x = 46,950.72 × 11,577.88
  4. Step 4: Simplify right side
    31,303.81x = 543,589,802.07
  5. Step 5: Solve for x
    x = 543,589,802.07/31,303.81
  6. Step 6: Final answer
    x = 17,364.97

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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.