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Finding the Fourth Proportional to 46,708.38, 64,457.10 and 25,487.46

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Solution

The fourth proportional to 46,708.38, 64,457.10 and 25,487.46 is: 35,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,708.38 : 64,457.10 = 25,487.46 : x
  2. Step 2: Convert to fraction form
    46,708.38/64,457.10 = 25,487.46/x
  3. Step 3: Cross multiply
    46,708.38x = 64,457.10 × 25,487.46
  4. Step 4: Simplify right side
    46,708.38x = 1,642,847,757.97
  5. Step 5: Solve for x
    x = 1,642,847,757.97/46,708.38
  6. Step 6: Final answer
    x = 35,172.44

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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.