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Finding the Fourth Proportional to 54,102.60, 81,153.90 and 31,926.60

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Solution

The fourth proportional to 54,102.60, 81,153.90 and 31,926.60 is: 47,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,102.60 : 81,153.90 = 31,926.60 : x
  2. Step 2: Convert to fraction form
    54,102.60/81,153.90 = 31,926.60/x
  3. Step 3: Cross multiply
    54,102.60x = 81,153.90 × 31,926.60
  4. Step 4: Simplify right side
    54,102.60x = 2,590,968,103.74
  5. Step 5: Solve for x
    x = 2,590,968,103.74/54,102.60
  6. Step 6: Final answer
    x = 47,889.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.