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Finding the Fourth Proportional to 76,357.97, 114,553.40 and 23,045.49

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Solution

The fourth proportional to 76,357.97, 114,553.40 and 23,045.49 is: 34,573.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,357.97 : 114,553.40 = 23,045.49 : x
  2. Step 2: Convert to fraction form
    76,357.97/114,553.40 = 23,045.49/x
  3. Step 3: Cross multiply
    76,357.97x = 114,553.40 × 23,045.49
  4. Step 4: Simplify right side
    76,357.97x = 2,639,938,862.20
  5. Step 5: Solve for x
    x = 2,639,938,862.20/76,357.97
  6. Step 6: Final answer
    x = 34,573.19

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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.