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Finding the Fourth Proportional to 82,409.40, 123,743.70 and 47,417.40

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Solution

The fourth proportional to 82,409.40, 123,743.70 and 47,417.40 is: 71,200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,409.40 : 123,743.70 = 47,417.40 : x
  2. Step 2: Convert to fraction form
    82,409.40/123,743.70 = 47,417.40/x
  3. Step 3: Cross multiply
    82,409.40x = 123,743.70 × 47,417.40
  4. Step 4: Simplify right side
    82,409.40x = 5,867,604,520.38
  5. Step 5: Solve for x
    x = 5,867,604,520.38/82,409.40
  6. Step 6: Final answer
    x = 71,200.67

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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.