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Finding the Fourth Proportional to 82,844.35, 114,328.07 and 47,033.17

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Solution

The fourth proportional to 82,844.35, 114,328.07 and 47,033.17 is: 64,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,844.35 : 114,328.07 = 47,033.17 : x
  2. Step 2: Convert to fraction form
    82,844.35/114,328.07 = 47,033.17/x
  3. Step 3: Cross multiply
    82,844.35x = 114,328.07 × 47,033.17
  4. Step 4: Simplify right side
    82,844.35x = 5,377,211,316.92
  5. Step 5: Solve for x
    x = 5,377,211,316.92/82,844.35
  6. Step 6: Final answer
    x = 64,907.40

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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.