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Finding the Fourth Proportional to 84,299.94, 116,297.37 and 50,746.50

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Solution

The fourth proportional to 84,299.94, 116,297.37 and 50,746.50 is: 70,008.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,299.94 : 116,297.37 = 50,746.50 : x
  2. Step 2: Convert to fraction form
    84,299.94/116,297.37 = 50,746.50/x
  3. Step 3: Cross multiply
    84,299.94x = 116,297.37 × 50,746.50
  4. Step 4: Simplify right side
    84,299.94x = 5,901,684,486.71
  5. Step 5: Solve for x
    x = 5,901,684,486.71/84,299.94
  6. Step 6: Final answer
    x = 70,008.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.