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Finding the Fourth Proportional to 30,596.38, 45,796.06 and 15,784.90

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Solution

The fourth proportional to 30,596.38, 45,796.06 and 15,784.90 is: 23,626.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.38 : 45,796.06 = 15,784.90 : x
  2. Step 2: Convert to fraction form
    30,596.38/45,796.06 = 15,784.90/x
  3. Step 3: Cross multiply
    30,596.38x = 45,796.06 × 15,784.90
  4. Step 4: Simplify right side
    30,596.38x = 722,886,227.49
  5. Step 5: Solve for x
    x = 722,886,227.49/30,596.38
  6. Step 6: Final answer
    x = 23,626.53

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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.