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Finding the Fourth Proportional to 43,276, 64,914 and 14,092

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Solution

The fourth proportional to 43,276, 64,914 and 14,092 is: 21,138

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,276 : 64,914 = 14,092 : x
  2. Step 2: Convert to fraction form
    43,276/64,914 = 14,092/x
  3. Step 3: Cross multiply
    43,276x = 64,914 × 14,092
  4. Step 4: Simplify right side
    43,276x = 914,768,088
  5. Step 5: Solve for x
    x = 914,768,088/43,276
  6. Step 6: Final answer
    x = 21,138

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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.