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Finding the Fourth Proportional to 46,479.76, 64,147.50 and 27,616.84

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Solution

The fourth proportional to 46,479.76, 64,147.50 and 27,616.84 is: 38,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,479.76 : 64,147.50 = 27,616.84 : x
  2. Step 2: Convert to fraction form
    46,479.76/64,147.50 = 27,616.84/x
  3. Step 3: Cross multiply
    46,479.76x = 64,147.50 × 27,616.84
  4. Step 4: Simplify right side
    46,479.76x = 1,771,551,243.90
  5. Step 5: Solve for x
    x = 1,771,551,243.90/46,479.76
  6. Step 6: Final answer
    x = 38,114.47

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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.