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Finding the Fourth Proportional to 82,594.54, 123,818.37 and 35,821.90

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Solution

The fourth proportional to 82,594.54, 123,818.37 and 35,821.90 is: 53,701.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,594.54 : 123,818.37 = 35,821.90 : x
  2. Step 2: Convert to fraction form
    82,594.54/123,818.37 = 35,821.90/x
  3. Step 3: Cross multiply
    82,594.54x = 123,818.37 × 35,821.90
  4. Step 4: Simplify right side
    82,594.54x = 4,435,409,268.30
  5. Step 5: Solve for x
    x = 4,435,409,268.30/82,594.54
  6. Step 6: Final answer
    x = 53,701.00

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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.