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Finding the Fourth Proportional to 45,704, 63,071.52 and 25,832

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Solution

The fourth proportional to 45,704, 63,071.52 and 25,832 is: 35,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,704 : 63,071.52 = 25,832 : x
  2. Step 2: Convert to fraction form
    45,704/63,071.52 = 25,832/x
  3. Step 3: Cross multiply
    45,704x = 63,071.52 × 25,832
  4. Step 4: Simplify right side
    45,704x = 1,629,263,504.64
  5. Step 5: Solve for x
    x = 1,629,263,504.64/45,704
  6. Step 6: Final answer
    x = 35,648.16

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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.