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Finding the Fourth Proportional to 83,302.26, 114,910.41 and 51,052.51

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Solution

The fourth proportional to 83,302.26, 114,910.41 and 51,052.51 is: 70,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,302.26 : 114,910.41 = 51,052.51 : x
  2. Step 2: Convert to fraction form
    83,302.26/114,910.41 = 51,052.51/x
  3. Step 3: Cross multiply
    83,302.26x = 114,910.41 × 51,052.51
  4. Step 4: Simplify right side
    83,302.26x = 5,866,465,190.71
  5. Step 5: Solve for x
    x = 5,866,465,190.71/83,302.26
  6. Step 6: Final answer
    x = 70,423.84

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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.