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Finding the Fourth Proportional to 48,644.66, 72,941.96 and 22,326.50

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Solution

The fourth proportional to 48,644.66, 72,941.96 and 22,326.50 is: 33,478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,644.66 : 72,941.96 = 22,326.50 : x
  2. Step 2: Convert to fraction form
    48,644.66/72,941.96 = 22,326.50/x
  3. Step 3: Cross multiply
    48,644.66x = 72,941.96 × 22,326.50
  4. Step 4: Simplify right side
    48,644.66x = 1,628,538,669.94
  5. Step 5: Solve for x
    x = 1,628,538,669.94/48,644.66
  6. Step 6: Final answer
    x = 33,478.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.