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Finding the Fourth Proportional to 83,066.25, 114,630.39 and 47,256.18

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Solution

The fourth proportional to 83,066.25, 114,630.39 and 47,256.18 is: 65,212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,066.25 : 114,630.39 = 47,256.18 : x
  2. Step 2: Convert to fraction form
    83,066.25/114,630.39 = 47,256.18/x
  3. Step 3: Cross multiply
    83,066.25x = 114,630.39 × 47,256.18
  4. Step 4: Simplify right side
    83,066.25x = 5,416,994,343.31
  5. Step 5: Solve for x
    x = 5,416,994,343.31/83,066.25
  6. Step 6: Final answer
    x = 65,212.94

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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.