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Finding the Fourth Proportional to 46,434.38, 64,078.98 and 25,213.20

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Solution

The fourth proportional to 46,434.38, 64,078.98 and 25,213.20 is: 34,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,434.38 : 64,078.98 = 25,213.20 : x
  2. Step 2: Convert to fraction form
    46,434.38/64,078.98 = 25,213.20/x
  3. Step 3: Cross multiply
    46,434.38x = 64,078.98 × 25,213.20
  4. Step 4: Simplify right side
    46,434.38x = 1,615,636,138.54
  5. Step 5: Solve for x
    x = 1,615,636,138.54/46,434.38
  6. Step 6: Final answer
    x = 34,793.96

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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.