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Finding the Fourth Proportional to 43,143, 64,714.50 and 11,978.28

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Solution

The fourth proportional to 43,143, 64,714.50 and 11,978.28 is: 17,967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,143 : 64,714.50 = 11,978.28 : x
  2. Step 2: Convert to fraction form
    43,143/64,714.50 = 11,978.28/x
  3. Step 3: Cross multiply
    43,143x = 64,714.50 × 11,978.28
  4. Step 4: Simplify right side
    43,143x = 775,168,401.06
  5. Step 5: Solve for x
    x = 775,168,401.06/43,143
  6. Step 6: Final answer
    x = 17,967.42

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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.