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Finding the Fourth Proportional to 123,644.34, 185,449.70 and 34,904.99

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Solution

The fourth proportional to 123,644.34, 185,449.70 and 34,904.99 is: 52,352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,644.34 : 185,449.70 = 34,904.99 : x
  2. Step 2: Convert to fraction form
    123,644.34/185,449.70 = 34,904.99/x
  3. Step 3: Cross multiply
    123,644.34x = 185,449.70 × 34,904.99
  4. Step 4: Simplify right side
    123,644.34x = 6,473,120,474.89
  5. Step 5: Solve for x
    x = 6,473,120,474.89/123,644.34
  6. Step 6: Final answer
    x = 52,352.74

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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.