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Finding the Fourth Proportional to 49,762.23, 68,681.37 and 28,254

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Solution

The fourth proportional to 49,762.23, 68,681.37 and 28,254 is: 38,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762.23 : 68,681.37 = 28,254 : x
  2. Step 2: Convert to fraction form
    49,762.23/68,681.37 = 28,254/x
  3. Step 3: Cross multiply
    49,762.23x = 68,681.37 × 28,254
  4. Step 4: Simplify right side
    49,762.23x = 1,940,523,427.98
  5. Step 5: Solve for x
    x = 1,940,523,427.98/49,762.23
  6. Step 6: Final answer
    x = 38,995.91

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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.