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Finding the Fourth Proportional to 64,414.64, 96,620.88 and 17,665.76

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Solution

The fourth proportional to 64,414.64, 96,620.88 and 17,665.76 is: 26,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,414.64 : 96,620.88 = 17,665.76 : x
  2. Step 2: Convert to fraction form
    64,414.64/96,620.88 = 17,665.76/x
  3. Step 3: Cross multiply
    64,414.64x = 96,620.88 × 17,665.76
  4. Step 4: Simplify right side
    64,414.64x = 1,706,881,277.07
  5. Step 5: Solve for x
    x = 1,706,881,277.07/64,414.64
  6. Step 6: Final answer
    x = 26,498.34

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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.