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Finding the Fourth Proportional to 45,265, 62,465.70 and 25,393

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Solution

The fourth proportional to 45,265, 62,465.70 and 25,393 is: 35,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,265 : 62,465.70 = 25,393 : x
  2. Step 2: Convert to fraction form
    45,265/62,465.70 = 25,393/x
  3. Step 3: Cross multiply
    45,265x = 62,465.70 × 25,393
  4. Step 4: Simplify right side
    45,265x = 1,586,191,520.10
  5. Step 5: Solve for x
    x = 1,586,191,520.10/45,265
  6. Step 6: Final answer
    x = 35,042.34

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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.