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Finding the Fourth Proportional to 31,222.99, 46,834.38 and 11,232.45

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Solution

The fourth proportional to 31,222.99, 46,834.38 and 11,232.45 is: 16,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,222.99 : 46,834.38 = 11,232.45 : x
  2. Step 2: Convert to fraction form
    31,222.99/46,834.38 = 11,232.45/x
  3. Step 3: Cross multiply
    31,222.99x = 46,834.38 × 11,232.45
  4. Step 4: Simplify right side
    31,222.99x = 526,064,831.63
  5. Step 5: Solve for x
    x = 526,064,831.63/31,222.99
  6. Step 6: Final answer
    x = 16,848.64

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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.