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Finding the Fourth Proportional to 46,689.70, 64,432.25 and 25,469.41

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Solution

The fourth proportional to 46,689.70, 64,432.25 and 25,469.41 is: 35,148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,689.70 : 64,432.25 = 25,469.41 : x
  2. Step 2: Convert to fraction form
    46,689.70/64,432.25 = 25,469.41/x
  3. Step 3: Cross multiply
    46,689.70x = 64,432.25 × 25,469.41
  4. Step 4: Simplify right side
    46,689.70x = 1,641,050,942.96
  5. Step 5: Solve for x
    x = 1,641,050,942.96/46,689.70
  6. Step 6: Final answer
    x = 35,148.03

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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.