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Finding the Fourth Proportional to 82,674.47, 114,125.56 and 55,853.15

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Solution

The fourth proportional to 82,674.47, 114,125.56 and 55,853.15 is: 77,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,674.47 : 114,125.56 = 55,853.15 : x
  2. Step 2: Convert to fraction form
    82,674.47/114,125.56 = 55,853.15/x
  3. Step 3: Cross multiply
    82,674.47x = 114,125.56 × 55,853.15
  4. Step 4: Simplify right side
    82,674.47x = 6,374,271,311.25
  5. Step 5: Solve for x
    x = 6,374,271,311.25/82,674.47
  6. Step 6: Final answer
    x = 77,100.84

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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.