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Finding the Fourth Proportional to 82,998.18, 114,571.80 and 62,855.10

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Solution

The fourth proportional to 82,998.18, 114,571.80 and 62,855.10 is: 86,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,998.18 : 114,571.80 = 62,855.10 : x
  2. Step 2: Convert to fraction form
    82,998.18/114,571.80 = 62,855.10/x
  3. Step 3: Cross multiply
    82,998.18x = 114,571.80 × 62,855.10
  4. Step 4: Simplify right side
    82,998.18x = 7,201,421,946.18
  5. Step 5: Solve for x
    x = 7,201,421,946.18/82,998.18
  6. Step 6: Final answer
    x = 86,766.02

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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.