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Finding the Fourth Proportional to 46,054.74, 69,082.12 and 12,774.81

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Solution

The fourth proportional to 46,054.74, 69,082.12 and 12,774.81 is: 19,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,054.74 : 69,082.12 = 12,774.81 : x
  2. Step 2: Convert to fraction form
    46,054.74/69,082.12 = 12,774.81/x
  3. Step 3: Cross multiply
    46,054.74x = 69,082.12 × 12,774.81
  4. Step 4: Simplify right side
    46,054.74x = 882,510,798.03
  5. Step 5: Solve for x
    x = 882,510,798.03/46,054.74
  6. Step 6: Final answer
    x = 19,162.21

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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.