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Finding the Fourth Proportional to 84,833.73, 127,135.78 and 32,214.51

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Solution

The fourth proportional to 84,833.73, 127,135.78 and 32,214.51 is: 48,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,833.73 : 127,135.78 = 32,214.51 : x
  2. Step 2: Convert to fraction form
    84,833.73/127,135.78 = 32,214.51/x
  3. Step 3: Cross multiply
    84,833.73x = 127,135.78 × 32,214.51
  4. Step 4: Simplify right side
    84,833.73x = 4,095,616,775.63
  5. Step 5: Solve for x
    x = 4,095,616,775.63/84,833.73
  6. Step 6: Final answer
    x = 48,278.16

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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.