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Finding the Fourth Proportional to 46,942.88, 64,782 and 25,720.88

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Solution

The fourth proportional to 46,942.88, 64,782 and 25,720.88 is: 35,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,942.88 : 64,782 = 25,720.88 : x
  2. Step 2: Convert to fraction form
    46,942.88/64,782 = 25,720.88/x
  3. Step 3: Cross multiply
    46,942.88x = 64,782 × 25,720.88
  4. Step 4: Simplify right side
    46,942.88x = 1,666,250,210.12
  5. Step 5: Solve for x
    x = 1,666,250,210.12/46,942.88
  6. Step 6: Final answer
    x = 35,495.27

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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.