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Finding the Fourth Proportional to 42,903.56, 59,206.74 and 24,041

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Solution

The fourth proportional to 42,903.56, 59,206.74 and 24,041 is: 33,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,903.56 : 59,206.74 = 24,041 : x
  2. Step 2: Convert to fraction form
    42,903.56/59,206.74 = 24,041/x
  3. Step 3: Cross multiply
    42,903.56x = 59,206.74 × 24,041
  4. Step 4: Simplify right side
    42,903.56x = 1,423,389,236.34
  5. Step 5: Solve for x
    x = 1,423,389,236.34/42,903.56
  6. Step 6: Final answer
    x = 33,176.48

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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.