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Finding the Fourth Proportional to 37,155.48, 51,274.50 and 20,159.72

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Solution

The fourth proportional to 37,155.48, 51,274.50 and 20,159.72 is: 27,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,155.48 : 51,274.50 = 20,159.72 : x
  2. Step 2: Convert to fraction form
    37,155.48/51,274.50 = 20,159.72/x
  3. Step 3: Cross multiply
    37,155.48x = 51,274.50 × 20,159.72
  4. Step 4: Simplify right side
    37,155.48x = 1,033,679,555.03
  5. Step 5: Solve for x
    x = 1,033,679,555.03/37,155.48
  6. Step 6: Final answer
    x = 27,820.38

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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.