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Finding the Fourth Proportional to 30,667.16, 45,994.92 and 9,604

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Solution

The fourth proportional to 30,667.16, 45,994.92 and 9,604 is: 14,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,667.16 : 45,994.92 = 9,604 : x
  2. Step 2: Convert to fraction form
    30,667.16/45,994.92 = 9,604/x
  3. Step 3: Cross multiply
    30,667.16x = 45,994.92 × 9,604
  4. Step 4: Simplify right side
    30,667.16x = 441,735,211.68
  5. Step 5: Solve for x
    x = 441,735,211.68/30,667.16
  6. Step 6: Final answer
    x = 14,404.18

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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.