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Finding the Fourth Proportional to 83,034.50, 114,639.45 and 53,278.34

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Solution

The fourth proportional to 83,034.50, 114,639.45 and 53,278.34 is: 73,557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,034.50 : 114,639.45 = 53,278.34 : x
  2. Step 2: Convert to fraction form
    83,034.50/114,639.45 = 53,278.34/x
  3. Step 3: Cross multiply
    83,034.50x = 114,639.45 × 53,278.34
  4. Step 4: Simplify right side
    83,034.50x = 6,107,799,594.51
  5. Step 5: Solve for x
    x = 6,107,799,594.51/83,034.50
  6. Step 6: Final answer
    x = 73,557.37

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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.