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Finding the Fourth Proportional to 70,902.54, 97,859.64 and 40,708.26

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Solution

The fourth proportional to 70,902.54, 97,859.64 and 40,708.26 is: 56,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,902.54 : 97,859.64 = 40,708.26 : x
  2. Step 2: Convert to fraction form
    70,902.54/97,859.64 = 40,708.26/x
  3. Step 3: Cross multiply
    70,902.54x = 97,859.64 × 40,708.26
  4. Step 4: Simplify right side
    70,902.54x = 3,983,695,668.63
  5. Step 5: Solve for x
    x = 3,983,695,668.63/70,902.54
  6. Step 6: Final answer
    x = 56,185.51

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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.