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Finding the Fourth Proportional to 37,156, 51,274.60 and 21,023.14

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Solution

The fourth proportional to 37,156, 51,274.60 and 21,023.14 is: 29,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,156 : 51,274.60 = 21,023.14 : x
  2. Step 2: Convert to fraction form
    37,156/51,274.60 = 21,023.14/x
  3. Step 3: Cross multiply
    37,156x = 51,274.60 × 21,023.14
  4. Step 4: Simplify right side
    37,156x = 1,077,953,094.24
  5. Step 5: Solve for x
    x = 1,077,953,094.24/37,156
  6. Step 6: Final answer
    x = 29,011.55

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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.