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Finding the Fourth Proportional to 109,883.64, 164,893.14 and 43,312.44

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Solution

The fourth proportional to 109,883.64, 164,893.14 and 43,312.44 is: 64,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,883.64 : 164,893.14 = 43,312.44 : x
  2. Step 2: Convert to fraction form
    109,883.64/164,893.14 = 43,312.44/x
  3. Step 3: Cross multiply
    109,883.64x = 164,893.14 × 43,312.44
  4. Step 4: Simplify right side
    109,883.64x = 7,141,924,232.66
  5. Step 5: Solve for x
    x = 7,141,924,232.66/109,883.64
  6. Step 6: Final answer
    x = 64,995.34

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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.