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Finding the Fourth Proportional to 86,564.78, 129,834.14 and 27,392.75

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Solution

The fourth proportional to 86,564.78, 129,834.14 and 27,392.75 is: 41,085.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,564.78 : 129,834.14 = 27,392.75 : x
  2. Step 2: Convert to fraction form
    86,564.78/129,834.14 = 27,392.75/x
  3. Step 3: Cross multiply
    86,564.78x = 129,834.14 × 27,392.75
  4. Step 4: Simplify right side
    86,564.78x = 3,556,513,352.35
  5. Step 5: Solve for x
    x = 3,556,513,352.35/86,564.78
  6. Step 6: Final answer
    x = 41,085.00

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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.