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Finding the Fourth Proportional to 84,905.73, 127,243.71 and 32,286.51

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Solution

The fourth proportional to 84,905.73, 127,243.71 and 32,286.51 is: 48,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,905.73 : 127,243.71 = 32,286.51 : x
  2. Step 2: Convert to fraction form
    84,905.73/127,243.71 = 32,286.51/x
  3. Step 3: Cross multiply
    84,905.73x = 127,243.71 × 32,286.51
  4. Step 4: Simplify right side
    84,905.73x = 4,108,255,315.35
  5. Step 5: Solve for x
    x = 4,108,255,315.35/84,905.73
  6. Step 6: Final answer
    x = 48,386.08

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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.