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Finding the Fourth Proportional to 90,907.76, 136,358.40 and 31,743.20

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Solution

The fourth proportional to 90,907.76, 136,358.40 and 31,743.20 is: 47,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,907.76 : 136,358.40 = 31,743.20 : x
  2. Step 2: Convert to fraction form
    90,907.76/136,358.40 = 31,743.20/x
  3. Step 3: Cross multiply
    90,907.76x = 136,358.40 × 31,743.20
  4. Step 4: Simplify right side
    90,907.76x = 4,328,451,962.88
  5. Step 5: Solve for x
    x = 4,328,451,962.88/90,907.76
  6. Step 6: Final answer
    x = 47,613.67

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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.