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Finding the Fourth Proportional to 30,469.46, 42,048.05 and 17,041.28

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Solution

The fourth proportional to 30,469.46, 42,048.05 and 17,041.28 is: 23,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469.46 : 42,048.05 = 17,041.28 : x
  2. Step 2: Convert to fraction form
    30,469.46/42,048.05 = 17,041.28/x
  3. Step 3: Cross multiply
    30,469.46x = 42,048.05 × 17,041.28
  4. Step 4: Simplify right side
    30,469.46x = 716,552,298.06
  5. Step 5: Solve for x
    x = 716,552,298.06/30,469.46
  6. Step 6: Final answer
    x = 23,517.07

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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.