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Finding the Fourth Proportional to 46,978.82, 64,814.61 and 27,854.66

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Solution

The fourth proportional to 46,978.82, 64,814.61 and 27,854.66 is: 38,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.82 : 64,814.61 = 27,854.66 : x
  2. Step 2: Convert to fraction form
    46,978.82/64,814.61 = 27,854.66/x
  3. Step 3: Cross multiply
    46,978.82x = 64,814.61 × 27,854.66
  4. Step 4: Simplify right side
    46,978.82x = 1,805,388,924.58
  5. Step 5: Solve for x
    x = 1,805,388,924.58/46,978.82
  6. Step 6: Final answer
    x = 38,429.85

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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.