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Finding the Fourth Proportional to 101,546.73, 152,318.14 and 34,985.39

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Solution

The fourth proportional to 101,546.73, 152,318.14 and 34,985.39 is: 52,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,546.73 : 152,318.14 = 34,985.39 : x
  2. Step 2: Convert to fraction form
    101,546.73/152,318.14 = 34,985.39/x
  3. Step 3: Cross multiply
    101,546.73x = 152,318.14 × 34,985.39
  4. Step 4: Simplify right side
    101,546.73x = 5,328,908,682.92
  5. Step 5: Solve for x
    x = 5,328,908,682.92/101,546.73
  6. Step 6: Final answer
    x = 52,477.40

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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.