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Finding the Fourth Proportional to 84,085.56, 116,037.36 and 46,359

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Solution

The fourth proportional to 84,085.56, 116,037.36 and 46,359 is: 63,975.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,085.56 : 116,037.36 = 46,359 : x
  2. Step 2: Convert to fraction form
    84,085.56/116,037.36 = 46,359/x
  3. Step 3: Cross multiply
    84,085.56x = 116,037.36 × 46,359
  4. Step 4: Simplify right side
    84,085.56x = 5,379,375,972.24
  5. Step 5: Solve for x
    x = 5,379,375,972.24/84,085.56
  6. Step 6: Final answer
    x = 63,975.03

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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.