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Finding the Fourth Proportional to 78,059.84, 117,101.96 and 25,457.09

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Solution

The fourth proportional to 78,059.84, 117,101.96 and 25,457.09 is: 38,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,059.84 : 117,101.96 = 25,457.09 : x
  2. Step 2: Convert to fraction form
    78,059.84/117,101.96 = 25,457.09/x
  3. Step 3: Cross multiply
    78,059.84x = 117,101.96 × 25,457.09
  4. Step 4: Simplify right side
    78,059.84x = 2,981,075,007.61
  5. Step 5: Solve for x
    x = 2,981,075,007.61/78,059.84
  6. Step 6: Final answer
    x = 38,189.61

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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.