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Finding the Fourth Proportional to 55,278.72, 76,295.52 and 38,502

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Solution

The fourth proportional to 55,278.72, 76,295.52 and 38,502 is: 53,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,278.72 : 76,295.52 = 38,502 : x
  2. Step 2: Convert to fraction form
    55,278.72/76,295.52 = 38,502/x
  3. Step 3: Cross multiply
    55,278.72x = 76,295.52 × 38,502
  4. Step 4: Simplify right side
    55,278.72x = 2,937,530,111.04
  5. Step 5: Solve for x
    x = 2,937,530,111.04/55,278.72
  6. Step 6: Final answer
    x = 53,140.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.