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Finding the Fourth Proportional to 83,002.50, 114,544.26 and 45,277.56

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Solution

The fourth proportional to 83,002.50, 114,544.26 and 45,277.56 is: 62,483.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,002.50 : 114,544.26 = 45,277.56 : x
  2. Step 2: Convert to fraction form
    83,002.50/114,544.26 = 45,277.56/x
  3. Step 3: Cross multiply
    83,002.50x = 114,544.26 × 45,277.56
  4. Step 4: Simplify right side
    83,002.50x = 5,186,284,604.81
  5. Step 5: Solve for x
    x = 5,186,284,604.81/83,002.50
  6. Step 6: Final answer
    x = 62,483.47

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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.