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Finding the Fourth Proportional to 42,176, 58,202.88 and 25,412.48

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Solution

The fourth proportional to 42,176, 58,202.88 and 25,412.48 is: 35,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,176 : 58,202.88 = 25,412.48 : x
  2. Step 2: Convert to fraction form
    42,176/58,202.88 = 25,412.48/x
  3. Step 3: Cross multiply
    42,176x = 58,202.88 × 25,412.48
  4. Step 4: Simplify right side
    42,176x = 1,479,079,523.94
  5. Step 5: Solve for x
    x = 1,479,079,523.94/42,176
  6. Step 6: Final answer
    x = 35,069.22

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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.