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Finding the Fourth Proportional to 70,864.44, 97,782.64 and 40,651

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Solution

The fourth proportional to 70,864.44, 97,782.64 and 40,651 is: 56,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,864.44 : 97,782.64 = 40,651 : x
  2. Step 2: Convert to fraction form
    70,864.44/97,782.64 = 40,651/x
  3. Step 3: Cross multiply
    70,864.44x = 97,782.64 × 40,651
  4. Step 4: Simplify right side
    70,864.44x = 3,974,962,098.64
  5. Step 5: Solve for x
    x = 3,974,962,098.64/70,864.44
  6. Step 6: Final answer
    x = 56,092.48

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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.