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Finding the Fourth Proportional to 76,168.56, 105,100.08 and 47,854.08

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Solution

The fourth proportional to 76,168.56, 105,100.08 and 47,854.08 is: 66,030.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,168.56 : 105,100.08 = 47,854.08 : x
  2. Step 2: Convert to fraction form
    76,168.56/105,100.08 = 47,854.08/x
  3. Step 3: Cross multiply
    76,168.56x = 105,100.08 × 47,854.08
  4. Step 4: Simplify right side
    76,168.56x = 5,029,467,636.33
  5. Step 5: Solve for x
    x = 5,029,467,636.33/76,168.56
  6. Step 6: Final answer
    x = 66,030.76

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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.