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Finding the Fourth Proportional to 30,596.61, 42,223.98 and 17,168.85

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Solution

The fourth proportional to 30,596.61, 42,223.98 and 17,168.85 is: 23,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.61 : 42,223.98 = 17,168.85 : x
  2. Step 2: Convert to fraction form
    30,596.61/42,223.98 = 17,168.85/x
  3. Step 3: Cross multiply
    30,596.61x = 42,223.98 × 17,168.85
  4. Step 4: Simplify right side
    30,596.61x = 724,937,179.02
  5. Step 5: Solve for x
    x = 724,937,179.02/30,596.61
  6. Step 6: Final answer
    x = 23,693.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.