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Finding the Fourth Proportional to 30,307.50, 45,462.87 and 9,532.62

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Solution

The fourth proportional to 30,307.50, 45,462.87 and 9,532.62 is: 14,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,307.50 : 45,462.87 = 9,532.62 : x
  2. Step 2: Convert to fraction form
    30,307.50/45,462.87 = 9,532.62/x
  3. Step 3: Cross multiply
    30,307.50x = 45,462.87 × 9,532.62
  4. Step 4: Simplify right side
    30,307.50x = 433,380,263.82
  5. Step 5: Solve for x
    x = 433,380,263.82/30,307.50
  6. Step 6: Final answer
    x = 14,299.44

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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.