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Finding the Fourth Proportional to 82,898.84, 124,347.90 and 23,734.50

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Solution

The fourth proportional to 82,898.84, 124,347.90 and 23,734.50 is: 35,601.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,898.84 : 124,347.90 = 23,734.50 : x
  2. Step 2: Convert to fraction form
    82,898.84/124,347.90 = 23,734.50/x
  3. Step 3: Cross multiply
    82,898.84x = 124,347.90 × 23,734.50
  4. Step 4: Simplify right side
    82,898.84x = 2,951,335,232.55
  5. Step 5: Solve for x
    x = 2,951,335,232.55/82,898.84
  6. Step 6: Final answer
    x = 35,601.65

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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.