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Finding the Fourth Proportional to 32,903.94, 49,363.14 and 15,364.20

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Solution

The fourth proportional to 32,903.94, 49,363.14 and 15,364.20 is: 23,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,903.94 : 49,363.14 = 15,364.20 : x
  2. Step 2: Convert to fraction form
    32,903.94/49,363.14 = 15,364.20/x
  3. Step 3: Cross multiply
    32,903.94x = 49,363.14 × 15,364.20
  4. Step 4: Simplify right side
    32,903.94x = 758,425,155.59
  5. Step 5: Solve for x
    x = 758,425,155.59/32,903.94
  6. Step 6: Final answer
    x = 23,049.68

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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.