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Finding the Fourth Proportional to 46,625.40, 64,317.78 and 27,758.88

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Solution

The fourth proportional to 46,625.40, 64,317.78 and 27,758.88 is: 38,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,625.40 : 64,317.78 = 27,758.88 : x
  2. Step 2: Convert to fraction form
    46,625.40/64,317.78 = 27,758.88/x
  3. Step 3: Cross multiply
    46,625.40x = 64,317.78 × 27,758.88
  4. Step 4: Simplify right side
    46,625.40x = 1,785,389,536.89
  5. Step 5: Solve for x
    x = 1,785,389,536.89/46,625.40
  6. Step 6: Final answer
    x = 38,292.21

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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.