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Finding the Fourth Proportional to 54,741.80, 82,112.70 and 31,370.60

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Solution

The fourth proportional to 54,741.80, 82,112.70 and 31,370.60 is: 47,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,741.80 : 82,112.70 = 31,370.60 : x
  2. Step 2: Convert to fraction form
    54,741.80/82,112.70 = 31,370.60/x
  3. Step 3: Cross multiply
    54,741.80x = 82,112.70 × 31,370.60
  4. Step 4: Simplify right side
    54,741.80x = 2,575,924,666.62
  5. Step 5: Solve for x
    x = 2,575,924,666.62/54,741.80
  6. Step 6: Final answer
    x = 47,055.90

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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.