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Finding the Fourth Proportional to 78,504.92, 108,298.72 and 46,651.28

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Solution

The fourth proportional to 78,504.92, 108,298.72 and 46,651.28 is: 64,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,504.92 : 108,298.72 = 46,651.28 : x
  2. Step 2: Convert to fraction form
    78,504.92/108,298.72 = 46,651.28/x
  3. Step 3: Cross multiply
    78,504.92x = 108,298.72 × 46,651.28
  4. Step 4: Simplify right side
    78,504.92x = 5,052,273,910.36
  5. Step 5: Solve for x
    x = 5,052,273,910.36/78,504.92
  6. Step 6: Final answer
    x = 64,356.14

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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.