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Finding the Fourth Proportional to 109,566.64, 164,443.20 and 43,053.28

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Solution

The fourth proportional to 109,566.64, 164,443.20 and 43,053.28 is: 64,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,566.64 : 164,443.20 = 43,053.28 : x
  2. Step 2: Convert to fraction form
    109,566.64/164,443.20 = 43,053.28/x
  3. Step 3: Cross multiply
    109,566.64x = 164,443.20 × 43,053.28
  4. Step 4: Simplify right side
    109,566.64x = 7,079,819,133.70
  5. Step 5: Solve for x
    x = 7,079,819,133.70/109,566.64
  6. Step 6: Final answer
    x = 64,616.56

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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.