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Finding the Fourth Proportional to 84,783.30, 127,238.13 and 32,295.30

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Solution

The fourth proportional to 84,783.30, 127,238.13 and 32,295.30 is: 48,467.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,783.30 : 127,238.13 = 32,295.30 : x
  2. Step 2: Convert to fraction form
    84,783.30/127,238.13 = 32,295.30/x
  3. Step 3: Cross multiply
    84,783.30x = 127,238.13 × 32,295.30
  4. Step 4: Simplify right side
    84,783.30x = 4,109,193,579.79
  5. Step 5: Solve for x
    x = 4,109,193,579.79/84,783.30
  6. Step 6: Final answer
    x = 48,467.02

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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.