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Finding the Fourth Proportional to 30,549, 45,830.65 and 9,487.96

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Solution

The fourth proportional to 30,549, 45,830.65 and 9,487.96 is: 14,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,549 : 45,830.65 = 9,487.96 : x
  2. Step 2: Convert to fraction form
    30,549/45,830.65 = 9,487.96/x
  3. Step 3: Cross multiply
    30,549x = 45,830.65 × 9,487.96
  4. Step 4: Simplify right side
    30,549x = 434,839,373.97
  5. Step 5: Solve for x
    x = 434,839,373.97/30,549
  6. Step 6: Final answer
    x = 14,234.16

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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.