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Finding the Fourth Proportional to 70,446.98, 97,220.82 and 41,783.61

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Solution

The fourth proportional to 70,446.98, 97,220.82 and 41,783.61 is: 57,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,446.98 : 97,220.82 = 41,783.61 : x
  2. Step 2: Convert to fraction form
    70,446.98/97,220.82 = 41,783.61/x
  3. Step 3: Cross multiply
    70,446.98x = 97,220.82 × 41,783.61
  4. Step 4: Simplify right side
    70,446.98x = 4,062,236,826.76
  5. Step 5: Solve for x
    x = 4,062,236,826.76/70,446.98
  6. Step 6: Final answer
    x = 57,663.75

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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.