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Finding the Fourth Proportional to 75,696, 113,541.84 and 23,097.84

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Solution

The fourth proportional to 75,696, 113,541.84 and 23,097.84 is: 34,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,696 : 113,541.84 = 23,097.84 : x
  2. Step 2: Convert to fraction form
    75,696/113,541.84 = 23,097.84/x
  3. Step 3: Cross multiply
    75,696x = 113,541.84 × 23,097.84
  4. Step 4: Simplify right side
    75,696x = 2,622,571,253.63
  5. Step 5: Solve for x
    x = 2,622,571,253.63/75,696
  6. Step 6: Final answer
    x = 34,646.10

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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.