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Finding the Fourth Proportional to 65,903.84, 98,836.52 and 37,819.11

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Solution

The fourth proportional to 65,903.84, 98,836.52 and 37,819.11 is: 56,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,903.84 : 98,836.52 = 37,819.11 : x
  2. Step 2: Convert to fraction form
    65,903.84/98,836.52 = 37,819.11/x
  3. Step 3: Cross multiply
    65,903.84x = 98,836.52 × 37,819.11
  4. Step 4: Simplify right side
    65,903.84x = 3,737,909,032.80
  5. Step 5: Solve for x
    x = 3,737,909,032.80/65,903.84
  6. Step 6: Final answer
    x = 56,717.63

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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.