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Finding the Fourth Proportional to 84,728.63, 127,093.86 and 25,564.82

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Solution

The fourth proportional to 84,728.63, 127,093.86 and 25,564.82 is: 38,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,728.63 : 127,093.86 = 25,564.82 : x
  2. Step 2: Convert to fraction form
    84,728.63/127,093.86 = 25,564.82/x
  3. Step 3: Cross multiply
    84,728.63x = 127,093.86 × 25,564.82
  4. Step 4: Simplify right side
    84,728.63x = 3,249,131,018.54
  5. Step 5: Solve for x
    x = 3,249,131,018.54/84,728.63
  6. Step 6: Final answer
    x = 38,347.50

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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.