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Finding the Fourth Proportional to 109,416.64, 164,147.04 and 34,548.48

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Solution

The fourth proportional to 109,416.64, 164,147.04 and 34,548.48 is: 51,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,416.64 : 164,147.04 = 34,548.48 : x
  2. Step 2: Convert to fraction form
    109,416.64/164,147.04 = 34,548.48/x
  3. Step 3: Cross multiply
    109,416.64x = 164,147.04 × 34,548.48
  4. Step 4: Simplify right side
    109,416.64x = 5,671,030,728.50
  5. Step 5: Solve for x
    x = 5,671,030,728.50/109,416.64
  6. Step 6: Final answer
    x = 51,829.69

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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.