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Finding the Fourth Proportional to 83,097, 114,674.42 and 45,371.72

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Solution

The fourth proportional to 83,097, 114,674.42 and 45,371.72 is: 62,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,097 : 114,674.42 = 45,371.72 : x
  2. Step 2: Convert to fraction form
    83,097/114,674.42 = 45,371.72/x
  3. Step 3: Cross multiply
    83,097x = 114,674.42 × 45,371.72
  4. Step 4: Simplify right side
    83,097x = 5,202,975,675.40
  5. Step 5: Solve for x
    x = 5,202,975,675.40/83,097
  6. Step 6: Final answer
    x = 62,613.28

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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.