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Finding the Fourth Proportional to 38,412.68, 53,012.98 and 23,309.17

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Solution

The fourth proportional to 38,412.68, 53,012.98 and 23,309.17 is: 32,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,412.68 : 53,012.98 = 23,309.17 : x
  2. Step 2: Convert to fraction form
    38,412.68/53,012.98 = 23,309.17/x
  3. Step 3: Cross multiply
    38,412.68x = 53,012.98 × 23,309.17
  4. Step 4: Simplify right side
    38,412.68x = 1,235,688,297.96
  5. Step 5: Solve for x
    x = 1,235,688,297.96/38,412.68
  6. Step 6: Final answer
    x = 32,168.76

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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.