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Finding the Fourth Proportional to 30,438.60, 45,636.36 and 10,438.50

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Solution

The fourth proportional to 30,438.60, 45,636.36 and 10,438.50 is: 15,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438.60 : 45,636.36 = 10,438.50 : x
  2. Step 2: Convert to fraction form
    30,438.60/45,636.36 = 10,438.50/x
  3. Step 3: Cross multiply
    30,438.60x = 45,636.36 × 10,438.50
  4. Step 4: Simplify right side
    30,438.60x = 476,375,143.86
  5. Step 5: Solve for x
    x = 476,375,143.86/30,438.60
  6. Step 6: Final answer
    x = 15,650.36

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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.