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Finding the Fourth Proportional to 50,670.11, 69,929.06 and 29,448

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Solution

The fourth proportional to 50,670.11, 69,929.06 and 29,448 is: 40,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,670.11 : 69,929.06 = 29,448 : x
  2. Step 2: Convert to fraction form
    50,670.11/69,929.06 = 29,448/x
  3. Step 3: Cross multiply
    50,670.11x = 69,929.06 × 29,448
  4. Step 4: Simplify right side
    50,670.11x = 2,059,270,811.64
  5. Step 5: Solve for x
    x = 2,059,270,811.64/50,670.11
  6. Step 6: Final answer
    x = 40,640.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.