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Finding the Fourth Proportional to 82,709.34, 124,084.80 and 26,554.48

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Solution

The fourth proportional to 82,709.34, 124,084.80 and 26,554.48 is: 39,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,709.34 : 124,084.80 = 26,554.48 : x
  2. Step 2: Convert to fraction form
    82,709.34/124,084.80 = 26,554.48/x
  3. Step 3: Cross multiply
    82,709.34x = 124,084.80 × 26,554.48
  4. Step 4: Simplify right side
    82,709.34x = 3,295,007,339.90
  5. Step 5: Solve for x
    x = 3,295,007,339.90/82,709.34
  6. Step 6: Final answer
    x = 39,838.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.