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Finding the Fourth Proportional to 34,416.95, 47,494.64 and 19,309.34

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Solution

The fourth proportional to 34,416.95, 47,494.64 and 19,309.34 is: 26,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,416.95 : 47,494.64 = 19,309.34 : x
  2. Step 2: Convert to fraction form
    34,416.95/47,494.64 = 19,309.34/x
  3. Step 3: Cross multiply
    34,416.95x = 47,494.64 × 19,309.34
  4. Step 4: Simplify right side
    34,416.95x = 917,089,817.92
  5. Step 5: Solve for x
    x = 917,089,817.92/34,416.95
  6. Step 6: Final answer
    x = 26,646.46

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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.