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Finding the Fourth Proportional to 31,119, 46,678.50 and 9,231

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Solution

The fourth proportional to 31,119, 46,678.50 and 9,231 is: 13,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,119 : 46,678.50 = 9,231 : x
  2. Step 2: Convert to fraction form
    31,119/46,678.50 = 9,231/x
  3. Step 3: Cross multiply
    31,119x = 46,678.50 × 9,231
  4. Step 4: Simplify right side
    31,119x = 430,889,233.50
  5. Step 5: Solve for x
    x = 430,889,233.50/31,119
  6. Step 6: Final answer
    x = 13,846.50

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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.