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Finding the Fourth Proportional to 46,633.38, 64,354.06 and 25,412.66

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Solution

The fourth proportional to 46,633.38, 64,354.06 and 25,412.66 is: 35,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,633.38 : 64,354.06 = 25,412.66 : x
  2. Step 2: Convert to fraction form
    46,633.38/64,354.06 = 25,412.66/x
  3. Step 3: Cross multiply
    46,633.38x = 64,354.06 × 25,412.66
  4. Step 4: Simplify right side
    46,633.38x = 1,635,407,846.40
  5. Step 5: Solve for x
    x = 1,635,407,846.40/46,633.38
  6. Step 6: Final answer
    x = 35,069.47

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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.