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Finding the Fourth Proportional to 97,462, 134,500.82 and 59,728.96

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Solution

The fourth proportional to 97,462, 134,500.82 and 59,728.96 is: 82,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,462 : 134,500.82 = 59,728.96 : x
  2. Step 2: Convert to fraction form
    97,462/134,500.82 = 59,728.96/x
  3. Step 3: Cross multiply
    97,462x = 134,500.82 × 59,728.96
  4. Step 4: Simplify right side
    97,462x = 8,033,594,097.75
  5. Step 5: Solve for x
    x = 8,033,594,097.75/97,462
  6. Step 6: Final answer
    x = 82,427.96

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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.