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Finding the Fourth Proportional to 46,405.46, 64,039.20 and 25,184.27

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Solution

The fourth proportional to 46,405.46, 64,039.20 and 25,184.27 is: 34,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,405.46 : 64,039.20 = 25,184.27 : x
  2. Step 2: Convert to fraction form
    46,405.46/64,039.20 = 25,184.27/x
  3. Step 3: Cross multiply
    46,405.46x = 64,039.20 × 25,184.27
  4. Step 4: Simplify right side
    46,405.46x = 1,612,780,503.38
  5. Step 5: Solve for x
    x = 1,612,780,503.38/46,405.46
  6. Step 6: Final answer
    x = 34,754.11

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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.