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Finding the Fourth Proportional to 42,269.54, 58,328 and 25,270.40

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Solution

The fourth proportional to 42,269.54, 58,328 and 25,270.40 is: 34,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,269.54 : 58,328 = 25,270.40 : x
  2. Step 2: Convert to fraction form
    42,269.54/58,328 = 25,270.40/x
  3. Step 3: Cross multiply
    42,269.54x = 58,328 × 25,270.40
  4. Step 4: Simplify right side
    42,269.54x = 1,473,971,891.20
  5. Step 5: Solve for x
    x = 1,473,971,891.20/42,269.54
  6. Step 6: Final answer
    x = 34,870.78

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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.