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Finding the Fourth Proportional to 83,211.84, 114,844.23 and 47,405.16

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Solution

The fourth proportional to 83,211.84, 114,844.23 and 47,405.16 is: 65,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,211.84 : 114,844.23 = 47,405.16 : x
  2. Step 2: Convert to fraction form
    83,211.84/114,844.23 = 47,405.16/x
  3. Step 3: Cross multiply
    83,211.84x = 114,844.23 × 47,405.16
  4. Step 4: Simplify right side
    83,211.84x = 5,444,209,098.23
  5. Step 5: Solve for x
    x = 5,444,209,098.23/83,211.84
  6. Step 6: Final answer
    x = 65,425.89

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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.