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Finding the Fourth Proportional to 27,077.04, 40,612.88 and 8,352

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Solution

The fourth proportional to 27,077.04, 40,612.88 and 8,352 is: 12,527.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,077.04 : 40,612.88 = 8,352 : x
  2. Step 2: Convert to fraction form
    27,077.04/40,612.88 = 8,352/x
  3. Step 3: Cross multiply
    27,077.04x = 40,612.88 × 8,352
  4. Step 4: Simplify right side
    27,077.04x = 339,198,773.76
  5. Step 5: Solve for x
    x = 339,198,773.76/27,077.04
  6. Step 6: Final answer
    x = 12,527.17

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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.