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Finding the Fourth Proportional to 54,784.60, 82,031.10 and 34,955.80

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Solution

The fourth proportional to 54,784.60, 82,031.10 and 34,955.80 is: 52,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,784.60 : 82,031.10 = 34,955.80 : x
  2. Step 2: Convert to fraction form
    54,784.60/82,031.10 = 34,955.80/x
  3. Step 3: Cross multiply
    54,784.60x = 82,031.10 × 34,955.80
  4. Step 4: Simplify right side
    54,784.60x = 2,867,462,725.38
  5. Step 5: Solve for x
    x = 2,867,462,725.38/54,784.60
  6. Step 6: Final answer
    x = 52,340.67

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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.