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Finding the Fourth Proportional to 46,402.38, 64,036.71 and 27,278.66

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Solution

The fourth proportional to 46,402.38, 64,036.71 and 27,278.66 is: 37,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,402.38 : 64,036.71 = 27,278.66 : x
  2. Step 2: Convert to fraction form
    46,402.38/64,036.71 = 27,278.66/x
  3. Step 3: Cross multiply
    46,402.38x = 64,036.71 × 27,278.66
  4. Step 4: Simplify right side
    46,402.38x = 1,746,835,183.03
  5. Step 5: Solve for x
    x = 1,746,835,183.03/46,402.38
  6. Step 6: Final answer
    x = 37,645.38

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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.