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Finding the Fourth Proportional to 30,256, 45,384.32 and 8,368

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Solution

The fourth proportional to 30,256, 45,384.32 and 8,368 is: 12,552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256 : 45,384.32 = 8,368 : x
  2. Step 2: Convert to fraction form
    30,256/45,384.32 = 8,368/x
  3. Step 3: Cross multiply
    30,256x = 45,384.32 × 8,368
  4. Step 4: Simplify right side
    30,256x = 379,775,989.76
  5. Step 5: Solve for x
    x = 379,775,989.76/30,256
  6. Step 6: Final answer
    x = 12,552.09

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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.