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Finding the Fourth Proportional to 83,210.64, 114,835.23 and 49,239.24

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Solution

The fourth proportional to 83,210.64, 114,835.23 and 49,239.24 is: 67,952.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,210.64 : 114,835.23 = 49,239.24 : x
  2. Step 2: Convert to fraction form
    83,210.64/114,835.23 = 49,239.24/x
  3. Step 3: Cross multiply
    83,210.64x = 114,835.23 × 49,239.24
  4. Step 4: Simplify right side
    83,210.64x = 5,654,399,450.43
  5. Step 5: Solve for x
    x = 5,654,399,450.43/83,210.64
  6. Step 6: Final answer
    x = 67,952.84

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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.