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Finding the Fourth Proportional to 70,653.64, 105,952.64 and 25,664.36

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Solution

The fourth proportional to 70,653.64, 105,952.64 and 25,664.36 is: 38,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,653.64 : 105,952.64 = 25,664.36 : x
  2. Step 2: Convert to fraction form
    70,653.64/105,952.64 = 25,664.36/x
  3. Step 3: Cross multiply
    70,653.64x = 105,952.64 × 25,664.36
  4. Step 4: Simplify right side
    70,653.64x = 2,719,206,695.91
  5. Step 5: Solve for x
    x = 2,719,206,695.91/70,653.64
  6. Step 6: Final answer
    x = 38,486.43

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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.