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Finding the Fourth Proportional to 82,531.67, 123,802.76 and 23,372.01

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Solution

The fourth proportional to 82,531.67, 123,802.76 and 23,372.01 is: 35,059.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,531.67 : 123,802.76 = 23,372.01 : x
  2. Step 2: Convert to fraction form
    82,531.67/123,802.76 = 23,372.01/x
  3. Step 3: Cross multiply
    82,531.67x = 123,802.76 × 23,372.01
  4. Step 4: Simplify right side
    82,531.67x = 2,893,519,403.18
  5. Step 5: Solve for x
    x = 2,893,519,403.18/82,531.67
  6. Step 6: Final answer
    x = 35,059.51

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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.