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Finding the Fourth Proportional to 52,105.84, 71,905.10 and 29,444.34

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Solution

The fourth proportional to 52,105.84, 71,905.10 and 29,444.34 is: 40,632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,105.84 : 71,905.10 = 29,444.34 : x
  2. Step 2: Convert to fraction form
    52,105.84/71,905.10 = 29,444.34/x
  3. Step 3: Cross multiply
    52,105.84x = 71,905.10 × 29,444.34
  4. Step 4: Simplify right side
    52,105.84x = 2,117,198,212.13
  5. Step 5: Solve for x
    x = 2,117,198,212.13/52,105.84
  6. Step 6: Final answer
    x = 40,632.65

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1.5x scale

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.