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Finding the Fourth Proportional to 31,225.46, 46,840.60 and 9,039.14

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Solution

The fourth proportional to 31,225.46, 46,840.60 and 9,039.14 is: 13,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,225.46 : 46,840.60 = 9,039.14 : x
  2. Step 2: Convert to fraction form
    31,225.46/46,840.60 = 9,039.14/x
  3. Step 3: Cross multiply
    31,225.46x = 46,840.60 × 9,039.14
  4. Step 4: Simplify right side
    31,225.46x = 423,398,741.08
  5. Step 5: Solve for x
    x = 423,398,741.08/31,225.46
  6. Step 6: Final answer
    x = 13,559.41

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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.