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Finding the Fourth Proportional to 46,953.76, 64,796.76 and 25,732.57

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Solution

The fourth proportional to 46,953.76, 64,796.76 and 25,732.57 is: 35,511.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,953.76 : 64,796.76 = 25,732.57 : x
  2. Step 2: Convert to fraction form
    46,953.76/64,796.76 = 25,732.57/x
  3. Step 3: Cross multiply
    46,953.76x = 64,796.76 × 25,732.57
  4. Step 4: Simplify right side
    46,953.76x = 1,667,387,162.47
  5. Step 5: Solve for x
    x = 1,667,387,162.47/46,953.76
  6. Step 6: Final answer
    x = 35,511.26

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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.