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Finding the Fourth Proportional to 83,071, 114,598.06 and 54,378.01

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Solution

The fourth proportional to 83,071, 114,598.06 and 54,378.01 is: 75,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,071 : 114,598.06 = 54,378.01 : x
  2. Step 2: Convert to fraction form
    83,071/114,598.06 = 54,378.01/x
  3. Step 3: Cross multiply
    83,071x = 114,598.06 × 54,378.01
  4. Step 4: Simplify right side
    83,071x = 6,231,614,452.66
  5. Step 5: Solve for x
    x = 6,231,614,452.66/83,071
  6. Step 6: Final answer
    x = 75,015.52

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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.