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Finding the Fourth Proportional to 37,470.69, 51,708 and 20,475.51

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Solution

The fourth proportional to 37,470.69, 51,708 and 20,475.51 is: 28,255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,470.69 : 51,708 = 20,475.51 : x
  2. Step 2: Convert to fraction form
    37,470.69/51,708 = 20,475.51/x
  3. Step 3: Cross multiply
    37,470.69x = 51,708 × 20,475.51
  4. Step 4: Simplify right side
    37,470.69x = 1,058,747,671.08
  5. Step 5: Solve for x
    x = 1,058,747,671.08/37,470.69
  6. Step 6: Final answer
    x = 28,255.36

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1.5x scale

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.