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Finding the Fourth Proportional to 70,828.36, 97,759.74 and 40,613.14

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Solution

The fourth proportional to 70,828.36, 97,759.74 and 40,613.14 is: 56,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,828.36 : 97,759.74 = 40,613.14 : x
  2. Step 2: Convert to fraction form
    70,828.36/97,759.74 = 40,613.14/x
  3. Step 3: Cross multiply
    70,828.36x = 97,759.74 × 40,613.14
  4. Step 4: Simplify right side
    70,828.36x = 3,970,330,006.98
  5. Step 5: Solve for x
    x = 3,970,330,006.98/70,828.36
  6. Step 6: Final answer
    x = 56,055.65

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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.