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Finding the Fourth Proportional to 78,471.60, 108,291.24 and 46,207.62

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Solution

The fourth proportional to 78,471.60, 108,291.24 and 46,207.62 is: 63,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,471.60 : 108,291.24 = 46,207.62 : x
  2. Step 2: Convert to fraction form
    78,471.60/108,291.24 = 46,207.62/x
  3. Step 3: Cross multiply
    78,471.60x = 108,291.24 × 46,207.62
  4. Step 4: Simplify right side
    78,471.60x = 5,003,880,467.25
  5. Step 5: Solve for x
    x = 5,003,880,467.25/78,471.60
  6. Step 6: Final answer
    x = 63,766.77

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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.