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Finding the Fourth Proportional to 37,043, 51,119.34 and 20,276

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Solution

The fourth proportional to 37,043, 51,119.34 and 20,276 is: 27,980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,043 : 51,119.34 = 20,276 : x
  2. Step 2: Convert to fraction form
    37,043/51,119.34 = 20,276/x
  3. Step 3: Cross multiply
    37,043x = 51,119.34 × 20,276
  4. Step 4: Simplify right side
    37,043x = 1,036,495,737.84
  5. Step 5: Solve for x
    x = 1,036,495,737.84/37,043
  6. Step 6: Final answer
    x = 27,980.88

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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.