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Finding the Fourth Proportional to 30,401.42, 45,600.30 and 9,341.66

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Solution

The fourth proportional to 30,401.42, 45,600.30 and 9,341.66 is: 14,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,401.42 : 45,600.30 = 9,341.66 : x
  2. Step 2: Convert to fraction form
    30,401.42/45,600.30 = 9,341.66/x
  3. Step 3: Cross multiply
    30,401.42x = 45,600.30 × 9,341.66
  4. Step 4: Simplify right side
    30,401.42x = 425,982,270.50
  5. Step 5: Solve for x
    x = 425,982,270.50/30,401.42
  6. Step 6: Final answer
    x = 14,011.92

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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.