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Finding the Fourth Proportional to 78,741.47, 118,161.19 and 31,994.35

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Solution

The fourth proportional to 78,741.47, 118,161.19 and 31,994.35 is: 48,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,741.47 : 118,161.19 = 31,994.35 : x
  2. Step 2: Convert to fraction form
    78,741.47/118,161.19 = 31,994.35/x
  3. Step 3: Cross multiply
    78,741.47x = 118,161.19 × 31,994.35
  4. Step 4: Simplify right side
    78,741.47x = 3,780,489,718.50
  5. Step 5: Solve for x
    x = 3,780,489,718.50/78,741.47
  6. Step 6: Final answer
    x = 48,011.42

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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.