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Finding the Fourth Proportional to 82,403.30, 123,463.69 and 55,334.90

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Solution

The fourth proportional to 82,403.30, 123,463.69 and 55,334.90 is: 82,907.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,403.30 : 123,463.69 = 55,334.90 : x
  2. Step 2: Convert to fraction form
    82,403.30/123,463.69 = 55,334.90/x
  3. Step 3: Cross multiply
    82,403.30x = 123,463.69 × 55,334.90
  4. Step 4: Simplify right side
    82,403.30x = 6,831,851,110.10
  5. Step 5: Solve for x
    x = 6,831,851,110.10/82,403.30
  6. Step 6: Final answer
    x = 82,907.49

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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.