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Finding the Fourth Proportional to 38,489.94, 53,130.24 and 22,587.72

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Solution

The fourth proportional to 38,489.94, 53,130.24 and 22,587.72 is: 31,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,489.94 : 53,130.24 = 22,587.72 : x
  2. Step 2: Convert to fraction form
    38,489.94/53,130.24 = 22,587.72/x
  3. Step 3: Cross multiply
    38,489.94x = 53,130.24 × 22,587.72
  4. Step 4: Simplify right side
    38,489.94x = 1,200,090,984.65
  5. Step 5: Solve for x
    x = 1,200,090,984.65/38,489.94
  6. Step 6: Final answer
    x = 31,179.34

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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.