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Finding the Fourth Proportional to 30,411.69, 45,621.90 and 9,353.49

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Solution

The fourth proportional to 30,411.69, 45,621.90 and 9,353.49 is: 14,031.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,411.69 : 45,621.90 = 9,353.49 : x
  2. Step 2: Convert to fraction form
    30,411.69/45,621.90 = 9,353.49/x
  3. Step 3: Cross multiply
    30,411.69x = 45,621.90 × 9,353.49
  4. Step 4: Simplify right side
    30,411.69x = 426,723,985.43
  5. Step 5: Solve for x
    x = 426,723,985.43/30,411.69
  6. Step 6: Final answer
    x = 14,031.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.