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Finding the Fourth Proportional to 78,327.01, 108,093.70 and 46,055.80

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Solution

The fourth proportional to 78,327.01, 108,093.70 and 46,055.80 is: 63,558.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,327.01 : 108,093.70 = 46,055.80 : x
  2. Step 2: Convert to fraction form
    78,327.01/108,093.70 = 46,055.80/x
  3. Step 3: Cross multiply
    78,327.01x = 108,093.70 × 46,055.80
  4. Step 4: Simplify right side
    78,327.01x = 4,978,341,946.47
  5. Step 5: Solve for x
    x = 4,978,341,946.47/78,327.01
  6. Step 6: Final answer
    x = 63,558.43

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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.