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Finding the Fourth Proportional to 30,411.32, 45,621.33 and 9,353.12

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Solution

The fourth proportional to 30,411.32, 45,621.33 and 9,353.12 is: 14,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,411.32 : 45,621.33 = 9,353.12 : x
  2. Step 2: Convert to fraction form
    30,411.32/45,621.33 = 9,353.12/x
  3. Step 3: Cross multiply
    30,411.32x = 45,621.33 × 9,353.12
  4. Step 4: Simplify right side
    30,411.32x = 426,701,545.94
  5. Step 5: Solve for x
    x = 426,701,545.94/30,411.32
  6. Step 6: Final answer
    x = 14,031.01

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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.