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Finding the Fourth Proportional to 31,045.78, 46,525.62 and 11,313.58

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Solution

The fourth proportional to 31,045.78, 46,525.62 and 11,313.58 is: 16,954.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,045.78 : 46,525.62 = 11,313.58 : x
  2. Step 2: Convert to fraction form
    31,045.78/46,525.62 = 11,313.58/x
  3. Step 3: Cross multiply
    31,045.78x = 46,525.62 × 11,313.58
  4. Step 4: Simplify right side
    31,045.78x = 526,371,323.92
  5. Step 5: Solve for x
    x = 526,371,323.92/31,045.78
  6. Step 6: Final answer
    x = 16,954.68

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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.