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Finding the Fourth Proportional to 70,218.72, 96,937.02 and 47,676.96

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Solution

The fourth proportional to 70,218.72, 96,937.02 and 47,676.96 is: 65,818.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,218.72 : 96,937.02 = 47,676.96 : x
  2. Step 2: Convert to fraction form
    70,218.72/96,937.02 = 47,676.96/x
  3. Step 3: Cross multiply
    70,218.72x = 96,937.02 × 47,676.96
  4. Step 4: Simplify right side
    70,218.72x = 4,621,662,425.06
  5. Step 5: Solve for x
    x = 4,621,662,425.06/70,218.72
  6. Step 6: Final answer
    x = 65,818.10

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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.