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Finding the Fourth Proportional to 70,264.26, 96,964.29 and 40,054.50

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Solution

The fourth proportional to 70,264.26, 96,964.29 and 40,054.50 is: 55,274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,264.26 : 96,964.29 = 40,054.50 : x
  2. Step 2: Convert to fraction form
    70,264.26/96,964.29 = 40,054.50/x
  3. Step 3: Cross multiply
    70,264.26x = 96,964.29 × 40,054.50
  4. Step 4: Simplify right side
    70,264.26x = 3,883,856,153.81
  5. Step 5: Solve for x
    x = 3,883,856,153.81/70,264.26
  6. Step 6: Final answer
    x = 55,274.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.