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Finding the Fourth Proportional to 57,003, 78,664.14 and 31,852.50

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Solution

The fourth proportional to 57,003, 78,664.14 and 31,852.50 is: 43,956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,003 : 78,664.14 = 31,852.50 : x
  2. Step 2: Convert to fraction form
    57,003/78,664.14 = 31,852.50/x
  3. Step 3: Cross multiply
    57,003x = 78,664.14 × 31,852.50
  4. Step 4: Simplify right side
    57,003x = 2,505,649,519.35
  5. Step 5: Solve for x
    x = 2,505,649,519.35/57,003
  6. Step 6: Final answer
    x = 43,956.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.