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Finding the Fourth Proportional to 83,071.35, 114,598.62 and 54,378.45

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Solution

The fourth proportional to 83,071.35, 114,598.62 and 54,378.45 is: 75,016.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,071.35 : 114,598.62 = 54,378.45 : x
  2. Step 2: Convert to fraction form
    83,071.35/114,598.62 = 54,378.45/x
  3. Step 3: Cross multiply
    83,071.35x = 114,598.62 × 54,378.45
  4. Step 4: Simplify right side
    83,071.35x = 6,231,695,327.74
  5. Step 5: Solve for x
    x = 6,231,695,327.74/83,071.35
  6. Step 6: Final answer
    x = 75,016.18

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