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Finding the Fourth Proportional to 51,653.08, 71,200.38 and 33,739.12

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Solution

The fourth proportional to 51,653.08, 71,200.38 and 33,739.12 is: 46,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,653.08 : 71,200.38 = 33,739.12 : x
  2. Step 2: Convert to fraction form
    51,653.08/71,200.38 = 33,739.12/x
  3. Step 3: Cross multiply
    51,653.08x = 71,200.38 × 33,739.12
  4. Step 4: Simplify right side
    51,653.08x = 2,402,238,164.87
  5. Step 5: Solve for x
    x = 2,402,238,164.87/51,653.08
  6. Step 6: Final answer
    x = 46,507.16

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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.