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Finding the Fourth Proportional to 78,078.18, 107,736.30 and 47,435.34

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Solution

The fourth proportional to 78,078.18, 107,736.30 and 47,435.34 is: 65,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,078.18 : 107,736.30 = 47,435.34 : x
  2. Step 2: Convert to fraction form
    78,078.18/107,736.30 = 47,435.34/x
  3. Step 3: Cross multiply
    78,078.18x = 107,736.30 × 47,435.34
  4. Step 4: Simplify right side
    78,078.18x = 5,110,508,020.84
  5. Step 5: Solve for x
    x = 5,110,508,020.84/78,078.18
  6. Step 6: Final answer
    x = 65,453.73

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1.5x scale

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.