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Finding the Fourth Proportional to 55,794.88, 76,978.21 and 31,592.54

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Solution

The fourth proportional to 55,794.88, 76,978.21 and 31,592.54 is: 43,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,794.88 : 76,978.21 = 31,592.54 : x
  2. Step 2: Convert to fraction form
    55,794.88/76,978.21 = 31,592.54/x
  3. Step 3: Cross multiply
    55,794.88x = 76,978.21 × 31,592.54
  4. Step 4: Simplify right side
    55,794.88x = 2,431,937,179.18
  5. Step 5: Solve for x
    x = 2,431,937,179.18/55,794.88
  6. Step 6: Final answer
    x = 43,587.10

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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.