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Finding the Fourth Proportional to 71,665.83, 98,943.12 and 46,181.21

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Solution

The fourth proportional to 71,665.83, 98,943.12 and 46,181.21 is: 63,758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,665.83 : 98,943.12 = 46,181.21 : x
  2. Step 2: Convert to fraction form
    71,665.83/98,943.12 = 46,181.21/x
  3. Step 3: Cross multiply
    71,665.83x = 98,943.12 × 46,181.21
  4. Step 4: Simplify right side
    71,665.83x = 4,569,312,508.06
  5. Step 5: Solve for x
    x = 4,569,312,508.06/71,665.83
  6. Step 6: Final answer
    x = 63,758.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.