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Finding the Fourth Proportional to 83,869.36, 115,737.06 and 46,143.40

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Solution

The fourth proportional to 83,869.36, 115,737.06 and 46,143.40 is: 63,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,869.36 : 115,737.06 = 46,143.40 : x
  2. Step 2: Convert to fraction form
    83,869.36/115,737.06 = 46,143.40/x
  3. Step 3: Cross multiply
    83,869.36x = 115,737.06 × 46,143.40
  4. Step 4: Simplify right side
    83,869.36x = 5,340,501,454.40
  5. Step 5: Solve for x
    x = 5,340,501,454.40/83,869.36
  6. Step 6: Final answer
    x = 63,676.43

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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.