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Finding the Fourth Proportional to 105,728, 158,592 and 31,856

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Solution

The fourth proportional to 105,728, 158,592 and 31,856 is: 47,784

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,728 : 158,592 = 31,856 : x
  2. Step 2: Convert to fraction form
    105,728/158,592 = 31,856/x
  3. Step 3: Cross multiply
    105,728x = 158,592 × 31,856
  4. Step 4: Simplify right side
    105,728x = 5,052,106,752
  5. Step 5: Solve for x
    x = 5,052,106,752/105,728
  6. Step 6: Final answer
    x = 47,784

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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.