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Finding the Fourth Proportional to 84,342.29, 116,395.06 and 46,101

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Solution

The fourth proportional to 84,342.29, 116,395.06 and 46,101 is: 63,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,342.29 : 116,395.06 = 46,101 : x
  2. Step 2: Convert to fraction form
    84,342.29/116,395.06 = 46,101/x
  3. Step 3: Cross multiply
    84,342.29x = 116,395.06 × 46,101
  4. Step 4: Simplify right side
    84,342.29x = 5,365,928,545.81
  5. Step 5: Solve for x
    x = 5,365,928,545.81/84,342.29
  6. Step 6: Final answer
    x = 63,620.85

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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.