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Finding the Fourth Proportional to 30,439, 45,658.52 and 9,662.50

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Solution

The fourth proportional to 30,439, 45,658.52 and 9,662.50 is: 14,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,439 : 45,658.52 = 9,662.50 : x
  2. Step 2: Convert to fraction form
    30,439/45,658.52 = 9,662.50/x
  3. Step 3: Cross multiply
    30,439x = 45,658.52 × 9,662.50
  4. Step 4: Simplify right side
    30,439x = 441,175,449.50
  5. Step 5: Solve for x
    x = 441,175,449.50/30,439
  6. Step 6: Final answer
    x = 14,493.76

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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.