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Finding the Fourth Proportional to 36,726.50, 50,686.90 and 21,822.50

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Solution

The fourth proportional to 36,726.50, 50,686.90 and 21,822.50 is: 30,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,726.50 : 50,686.90 = 21,822.50 : x
  2. Step 2: Convert to fraction form
    36,726.50/50,686.90 = 21,822.50/x
  3. Step 3: Cross multiply
    36,726.50x = 50,686.90 × 21,822.50
  4. Step 4: Simplify right side
    36,726.50x = 1,106,114,875.25
  5. Step 5: Solve for x
    x = 1,106,114,875.25/36,726.50
  6. Step 6: Final answer
    x = 30,117.62

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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.