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Finding the Fourth Proportional to 97,644.99, 134,764.46 and 61,838.34

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Solution

The fourth proportional to 97,644.99, 134,764.46 and 61,838.34 is: 85,346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,644.99 : 134,764.46 = 61,838.34 : x
  2. Step 2: Convert to fraction form
    97,644.99/134,764.46 = 61,838.34/x
  3. Step 3: Cross multiply
    97,644.99x = 134,764.46 × 61,838.34
  4. Step 4: Simplify right side
    97,644.99x = 8,333,609,914.73
  5. Step 5: Solve for x
    x = 8,333,609,914.73/97,644.99
  6. Step 6: Final answer
    x = 85,346.00

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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.