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Finding the Fourth Proportional to 46,480.76, 64,148.88 and 27,617.84

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Solution

The fourth proportional to 46,480.76, 64,148.88 and 27,617.84 is: 38,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,480.76 : 64,148.88 = 27,617.84 : x
  2. Step 2: Convert to fraction form
    46,480.76/64,148.88 = 27,617.84/x
  3. Step 3: Cross multiply
    46,480.76x = 64,148.88 × 27,617.84
  4. Step 4: Simplify right side
    46,480.76x = 1,771,653,504.02
  5. Step 5: Solve for x
    x = 1,771,653,504.02/46,480.76
  6. Step 6: Final answer
    x = 38,115.85

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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.