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Finding the Fourth Proportional to 78,815.46, 108,763.20 and 43,005.48

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Solution

The fourth proportional to 78,815.46, 108,763.20 and 43,005.48 is: 59,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,815.46 : 108,763.20 = 43,005.48 : x
  2. Step 2: Convert to fraction form
    78,815.46/108,763.20 = 43,005.48/x
  3. Step 3: Cross multiply
    78,815.46x = 108,763.20 × 43,005.48
  4. Step 4: Simplify right side
    78,815.46x = 4,677,413,622.34
  5. Step 5: Solve for x
    x = 4,677,413,622.34/78,815.46
  6. Step 6: Final answer
    x = 59,346.40

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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.