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Finding the Fourth Proportional to 64,902.58, 97,318.17 and 29,322.10

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Solution

The fourth proportional to 64,902.58, 97,318.17 and 29,322.10 is: 43,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,902.58 : 97,318.17 = 29,322.10 : x
  2. Step 2: Convert to fraction form
    64,902.58/97,318.17 = 29,322.10/x
  3. Step 3: Cross multiply
    64,902.58x = 97,318.17 × 29,322.10
  4. Step 4: Simplify right side
    64,902.58x = 2,853,573,112.56
  5. Step 5: Solve for x
    x = 2,853,573,112.56/64,902.58
  6. Step 6: Final answer
    x = 43,967.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.