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Finding the Fourth Proportional to 72,822.56, 100,493.08 and 40,557.17

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Solution

The fourth proportional to 72,822.56, 100,493.08 and 40,557.17 is: 55,967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,822.56 : 100,493.08 = 40,557.17 : x
  2. Step 2: Convert to fraction form
    72,822.56/100,493.08 = 40,557.17/x
  3. Step 3: Cross multiply
    72,822.56x = 100,493.08 × 40,557.17
  4. Step 4: Simplify right side
    72,822.56x = 4,075,714,929.38
  5. Step 5: Solve for x
    x = 4,075,714,929.38/72,822.56
  6. Step 6: Final answer
    x = 55,967.75

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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.