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Finding the Fourth Proportional to 30,469.37, 42,047.51 and 17,722.80

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Solution

The fourth proportional to 30,469.37, 42,047.51 and 17,722.80 is: 24,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469.37 : 42,047.51 = 17,722.80 : x
  2. Step 2: Convert to fraction form
    30,469.37/42,047.51 = 17,722.80/x
  3. Step 3: Cross multiply
    30,469.37x = 42,047.51 × 17,722.80
  4. Step 4: Simplify right side
    30,469.37x = 745,199,521.61
  5. Step 5: Solve for x
    x = 745,199,521.61/30,469.37
  6. Step 6: Final answer
    x = 24,457.34

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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.