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Finding the Fourth Proportional to 78,502.92, 108,295.96 and 46,649.28

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Solution

The fourth proportional to 78,502.92, 108,295.96 and 46,649.28 is: 64,353.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,502.92 : 108,295.96 = 46,649.28 : x
  2. Step 2: Convert to fraction form
    78,502.92/108,295.96 = 46,649.28/x
  3. Step 3: Cross multiply
    78,502.92x = 108,295.96 × 46,649.28
  4. Step 4: Simplify right side
    78,502.92x = 5,051,928,560.91
  5. Step 5: Solve for x
    x = 5,051,928,560.91/78,502.92
  6. Step 6: Final answer
    x = 64,353.38

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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.