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Finding the Fourth Proportional to 84,013.08, 115,938.06 and 46,287

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Solution

The fourth proportional to 84,013.08, 115,938.06 and 46,287 is: 63,876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,013.08 : 115,938.06 = 46,287 : x
  2. Step 2: Convert to fraction form
    84,013.08/115,938.06 = 46,287/x
  3. Step 3: Cross multiply
    84,013.08x = 115,938.06 × 46,287
  4. Step 4: Simplify right side
    84,013.08x = 5,366,424,983.22
  5. Step 5: Solve for x
    x = 5,366,424,983.22/84,013.08
  6. Step 6: Final answer
    x = 63,876.07

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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.