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Finding the Fourth Proportional to 46,746.87, 64,578.92 and 40,448.31

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Solution

The fourth proportional to 46,746.87, 64,578.92 and 40,448.31 is: 55,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,746.87 : 64,578.92 = 40,448.31 : x
  2. Step 2: Convert to fraction form
    46,746.87/64,578.92 = 40,448.31/x
  3. Step 3: Cross multiply
    46,746.87x = 64,578.92 × 40,448.31
  4. Step 4: Simplify right side
    46,746.87x = 2,612,107,973.38
  5. Step 5: Solve for x
    x = 2,612,107,973.38/46,746.87
  6. Step 6: Final answer
    x = 55,877.71

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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.