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Finding the Fourth Proportional to 82,015.84, 123,023.76 and 19,686.34

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Solution

The fourth proportional to 82,015.84, 123,023.76 and 19,686.34 is: 29,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,015.84 : 123,023.76 = 19,686.34 : x
  2. Step 2: Convert to fraction form
    82,015.84/123,023.76 = 19,686.34/x
  3. Step 3: Cross multiply
    82,015.84x = 123,023.76 × 19,686.34
  4. Step 4: Simplify right side
    82,015.84x = 2,421,886,853.89
  5. Step 5: Solve for x
    x = 2,421,886,853.89/82,015.84
  6. Step 6: Final answer
    x = 29,529.50

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