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Finding the Fourth Proportional to 105,607.54, 158,446.68 and 34,533.46

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Solution

The fourth proportional to 105,607.54, 158,446.68 and 34,533.46 is: 51,811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,607.54 : 158,446.68 = 34,533.46 : x
  2. Step 2: Convert to fraction form
    105,607.54/158,446.68 = 34,533.46/x
  3. Step 3: Cross multiply
    105,607.54x = 158,446.68 × 34,533.46
  4. Step 4: Simplify right side
    105,607.54x = 5,471,712,611.53
  5. Step 5: Solve for x
    x = 5,471,712,611.53/105,607.54
  6. Step 6: Final answer
    x = 51,811.76

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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.