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Finding the Fourth Proportional to 64,731.64, 97,108.53 and 29,674.30

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Solution

The fourth proportional to 64,731.64, 97,108.53 and 29,674.30 is: 44,516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,731.64 : 97,108.53 = 29,674.30 : x
  2. Step 2: Convert to fraction form
    64,731.64/97,108.53 = 29,674.30/x
  3. Step 3: Cross multiply
    64,731.64x = 97,108.53 × 29,674.30
  4. Step 4: Simplify right side
    64,731.64x = 2,881,627,651.78
  5. Step 5: Solve for x
    x = 2,881,627,651.78/64,731.64
  6. Step 6: Final answer
    x = 44,516.52

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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.