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Finding the Fourth Proportional to 82,852.67, 114,300.31 and 55,985.39

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Solution

The fourth proportional to 82,852.67, 114,300.31 and 55,985.39 is: 77,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,852.67 : 114,300.31 = 55,985.39 : x
  2. Step 2: Convert to fraction form
    82,852.67/114,300.31 = 55,985.39/x
  3. Step 3: Cross multiply
    82,852.67x = 114,300.31 × 55,985.39
  4. Step 4: Simplify right side
    82,852.67x = 6,399,147,432.47
  5. Step 5: Solve for x
    x = 6,399,147,432.47/82,852.67
  6. Step 6: Final answer
    x = 77,235.26

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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.