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Finding the Fourth Proportional to 175,057, 262,585.82 and 43,729

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Solution

The fourth proportional to 175,057, 262,585.82 and 43,729 is: 65,593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,057 : 262,585.82 = 43,729 : x
  2. Step 2: Convert to fraction form
    175,057/262,585.82 = 43,729/x
  3. Step 3: Cross multiply
    175,057x = 262,585.82 × 43,729
  4. Step 4: Simplify right side
    175,057x = 11,482,615,322.78
  5. Step 5: Solve for x
    x = 11,482,615,322.78/175,057
  6. Step 6: Final answer
    x = 65,593.58

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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.