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Finding the Fourth Proportional to 46,408.52, 64,043.80 and 25,187.78

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Solution

The fourth proportional to 46,408.52, 64,043.80 and 25,187.78 is: 34,759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,408.52 : 64,043.80 = 25,187.78 : x
  2. Step 2: Convert to fraction form
    46,408.52/64,043.80 = 25,187.78/x
  3. Step 3: Cross multiply
    46,408.52x = 64,043.80 × 25,187.78
  4. Step 4: Simplify right side
    46,408.52x = 1,613,121,144.76
  5. Step 5: Solve for x
    x = 1,613,121,144.76/46,408.52
  6. Step 6: Final answer
    x = 34,759.16

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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.