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Finding the Fourth Proportional to 38,530.80, 53,160.03 and 22,619.16

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Solution

The fourth proportional to 38,530.80, 53,160.03 and 22,619.16 is: 31,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,530.80 : 53,160.03 = 22,619.16 : x
  2. Step 2: Convert to fraction form
    38,530.80/53,160.03 = 22,619.16/x
  3. Step 3: Cross multiply
    38,530.80x = 53,160.03 × 22,619.16
  4. Step 4: Simplify right side
    38,530.80x = 1,202,435,224.17
  5. Step 5: Solve for x
    x = 1,202,435,224.17/38,530.80
  6. Step 6: Final answer
    x = 31,207.12

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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.