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Finding the Fourth Proportional to 78,843.41, 108,818.01 and 47,014.36

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Solution

The fourth proportional to 78,843.41, 108,818.01 and 47,014.36 is: 64,888.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,843.41 : 108,818.01 = 47,014.36 : x
  2. Step 2: Convert to fraction form
    78,843.41/108,818.01 = 47,014.36/x
  3. Step 3: Cross multiply
    78,843.41x = 108,818.01 × 47,014.36
  4. Step 4: Simplify right side
    78,843.41x = 5,116,009,204.92
  5. Step 5: Solve for x
    x = 5,116,009,204.92/78,843.41
  6. Step 6: Final answer
    x = 64,888.23

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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.