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Finding the Fourth Proportional to 46,864, 70,296 and 14,032

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Solution

The fourth proportional to 46,864, 70,296 and 14,032 is: 21,048

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,864 : 70,296 = 14,032 : x
  2. Step 2: Convert to fraction form
    46,864/70,296 = 14,032/x
  3. Step 3: Cross multiply
    46,864x = 70,296 × 14,032
  4. Step 4: Simplify right side
    46,864x = 986,393,472
  5. Step 5: Solve for x
    x = 986,393,472/46,864
  6. Step 6: Final answer
    x = 21,048

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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.