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Finding the Fourth Proportional to 82,744.70, 124,056.30 and 32,800.10

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Solution

The fourth proportional to 82,744.70, 124,056.30 and 32,800.10 is: 49,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,744.70 : 124,056.30 = 32,800.10 : x
  2. Step 2: Convert to fraction form
    82,744.70/124,056.30 = 32,800.10/x
  3. Step 3: Cross multiply
    82,744.70x = 124,056.30 × 32,800.10
  4. Step 4: Simplify right side
    82,744.70x = 4,069,059,045.63
  5. Step 5: Solve for x
    x = 4,069,059,045.63/82,744.70
  6. Step 6: Final answer
    x = 49,176.07

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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.