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Finding the Fourth Proportional to 131,903.84, 197,853 and 32,064.56

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Solution

The fourth proportional to 131,903.84, 197,853 and 32,064.56 is: 48,096.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,903.84 : 197,853 = 32,064.56 : x
  2. Step 2: Convert to fraction form
    131,903.84/197,853 = 32,064.56/x
  3. Step 3: Cross multiply
    131,903.84x = 197,853 × 32,064.56
  4. Step 4: Simplify right side
    131,903.84x = 6,344,069,389.68
  5. Step 5: Solve for x
    x = 6,344,069,389.68/131,903.84
  6. Step 6: Final answer
    x = 48,096.17

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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.