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Finding the Fourth Proportional to 51,913.40, 71,640.50 and 28,040.06

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Solution

The fourth proportional to 51,913.40, 71,640.50 and 28,040.06 is: 38,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,913.40 : 71,640.50 = 28,040.06 : x
  2. Step 2: Convert to fraction form
    51,913.40/71,640.50 = 28,040.06/x
  3. Step 3: Cross multiply
    51,913.40x = 71,640.50 × 28,040.06
  4. Step 4: Simplify right side
    51,913.40x = 2,008,803,420.03
  5. Step 5: Solve for x
    x = 2,008,803,420.03/51,913.40
  6. Step 6: Final answer
    x = 38,695.28

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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.