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Finding the Fourth Proportional to 82,594.76, 123,890.09 and 23,430.49

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Solution

The fourth proportional to 82,594.76, 123,890.09 and 23,430.49 is: 35,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,594.76 : 123,890.09 = 23,430.49 : x
  2. Step 2: Convert to fraction form
    82,594.76/123,890.09 = 23,430.49/x
  3. Step 3: Cross multiply
    82,594.76x = 123,890.09 × 23,430.49
  4. Step 4: Simplify right side
    82,594.76x = 2,902,805,087.97
  5. Step 5: Solve for x
    x = 2,902,805,087.97/82,594.76
  6. Step 6: Final answer
    x = 35,145.15

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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.