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Finding the Fourth Proportional to 75,980.82, 113,972.70 and 23,390.25

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Solution

The fourth proportional to 75,980.82, 113,972.70 and 23,390.25 is: 35,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,980.82 : 113,972.70 = 23,390.25 : x
  2. Step 2: Convert to fraction form
    75,980.82/113,972.70 = 23,390.25/x
  3. Step 3: Cross multiply
    75,980.82x = 113,972.70 × 23,390.25
  4. Step 4: Simplify right side
    75,980.82x = 2,665,849,946.18
  5. Step 5: Solve for x
    x = 2,665,849,946.18/75,980.82
  6. Step 6: Final answer
    x = 35,085.83

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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.