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Finding the Fourth Proportional to 46,536, 64,231.20 and 28,642.56

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Solution

The fourth proportional to 46,536, 64,231.20 and 28,642.56 is: 39,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,536 : 64,231.20 = 28,642.56 : x
  2. Step 2: Convert to fraction form
    46,536/64,231.20 = 28,642.56/x
  3. Step 3: Cross multiply
    46,536x = 64,231.20 × 28,642.56
  4. Step 4: Simplify right side
    46,536x = 1,839,745,999.87
  5. Step 5: Solve for x
    x = 1,839,745,999.87/46,536
  6. Step 6: Final answer
    x = 39,533.82

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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.