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Finding the Fourth Proportional to 82,341, 123,676.80 and 49,125.84

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Solution

The fourth proportional to 82,341, 123,676.80 and 49,125.84 is: 73,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,341 : 123,676.80 = 49,125.84 : x
  2. Step 2: Convert to fraction form
    82,341/123,676.80 = 49,125.84/x
  3. Step 3: Cross multiply
    82,341x = 123,676.80 × 49,125.84
  4. Step 4: Simplify right side
    82,341x = 6,075,726,688.51
  5. Step 5: Solve for x
    x = 6,075,726,688.51/82,341
  6. Step 6: Final answer
    x = 73,787.38

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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.