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Finding the Fourth Proportional to 64,827.47, 97,254.89 and 27,410.64

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Solution

The fourth proportional to 64,827.47, 97,254.89 and 27,410.64 is: 41,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,827.47 : 97,254.89 = 27,410.64 : x
  2. Step 2: Convert to fraction form
    64,827.47/97,254.89 = 27,410.64/x
  3. Step 3: Cross multiply
    64,827.47x = 97,254.89 × 27,410.64
  4. Step 4: Simplify right side
    64,827.47x = 2,665,818,640.98
  5. Step 5: Solve for x
    x = 2,665,818,640.98/64,827.47
  6. Step 6: Final answer
    x = 41,121.75

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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.