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Finding the Fourth Proportional to 81,929.70, 113,065.10 and 46,121

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Solution

The fourth proportional to 81,929.70, 113,065.10 and 46,121 is: 63,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,929.70 : 113,065.10 = 46,121 : x
  2. Step 2: Convert to fraction form
    81,929.70/113,065.10 = 46,121/x
  3. Step 3: Cross multiply
    81,929.70x = 113,065.10 × 46,121
  4. Step 4: Simplify right side
    81,929.70x = 5,214,675,477.10
  5. Step 5: Solve for x
    x = 5,214,675,477.10/81,929.70
  6. Step 6: Final answer
    x = 63,648.17

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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.