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Finding the Fourth Proportional to 30,467.60, 45,704.76 and 9,686.24

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Solution

The fourth proportional to 30,467.60, 45,704.76 and 9,686.24 is: 14,530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,467.60 : 45,704.76 = 9,686.24 : x
  2. Step 2: Convert to fraction form
    30,467.60/45,704.76 = 9,686.24/x
  3. Step 3: Cross multiply
    30,467.60x = 45,704.76 × 9,686.24
  4. Step 4: Simplify right side
    30,467.60x = 442,707,274.50
  5. Step 5: Solve for x
    x = 442,707,274.50/30,467.60
  6. Step 6: Final answer
    x = 14,530.43

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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.