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Finding the Fourth Proportional to 82,696.29, 114,185.16 and 63,545.87

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Solution

The fourth proportional to 82,696.29, 114,185.16 and 63,545.87 is: 87,742.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,696.29 : 114,185.16 = 63,545.87 : x
  2. Step 2: Convert to fraction form
    82,696.29/114,185.16 = 63,545.87/x
  3. Step 3: Cross multiply
    82,696.29x = 114,185.16 × 63,545.87
  4. Step 4: Simplify right side
    82,696.29x = 7,255,994,762.36
  5. Step 5: Solve for x
    x = 7,255,994,762.36/82,696.29
  6. Step 6: Final answer
    x = 87,742.69

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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.