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Finding the Fourth Proportional to 53,508.48, 80,312 and 27,232

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Solution

The fourth proportional to 53,508.48, 80,312 and 27,232 is: 40,873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,508.48 : 80,312 = 27,232 : x
  2. Step 2: Convert to fraction form
    53,508.48/80,312 = 27,232/x
  3. Step 3: Cross multiply
    53,508.48x = 80,312 × 27,232
  4. Step 4: Simplify right side
    53,508.48x = 2,187,056,384
  5. Step 5: Solve for x
    x = 2,187,056,384/53,508.48
  6. Step 6: Final answer
    x = 40,873.08

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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.