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Finding the Fourth Proportional to 82,856.84, 124,188.84 and 47,343.03

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Solution

The fourth proportional to 82,856.84, 124,188.84 and 47,343.03 is: 70,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,856.84 : 124,188.84 = 47,343.03 : x
  2. Step 2: Convert to fraction form
    82,856.84/124,188.84 = 47,343.03/x
  3. Step 3: Cross multiply
    82,856.84x = 124,188.84 × 47,343.03
  4. Step 4: Simplify right side
    82,856.84x = 5,879,475,977.79
  5. Step 5: Solve for x
    x = 5,879,475,977.79/82,856.84
  6. Step 6: Final answer
    x = 70,959.46

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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.