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Finding the Fourth Proportional to 82,594.53, 123,940.80 and 30,008.12

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Solution

The fourth proportional to 82,594.53, 123,940.80 and 30,008.12 is: 45,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,594.53 : 123,940.80 = 30,008.12 : x
  2. Step 2: Convert to fraction form
    82,594.53/123,940.80 = 30,008.12/x
  3. Step 3: Cross multiply
    82,594.53x = 123,940.80 × 30,008.12
  4. Step 4: Simplify right side
    82,594.53x = 3,719,229,779.59
  5. Step 5: Solve for x
    x = 3,719,229,779.59/82,594.53
  6. Step 6: Final answer
    x = 45,029.98

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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.