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Finding the Fourth Proportional to 38,501.65, 53,131.84 and 22,583.04

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Solution

The fourth proportional to 38,501.65, 53,131.84 and 22,583.04 is: 31,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,501.65 : 53,131.84 = 22,583.04 : x
  2. Step 2: Convert to fraction form
    38,501.65/53,131.84 = 22,583.04/x
  3. Step 3: Cross multiply
    38,501.65x = 53,131.84 × 22,583.04
  4. Step 4: Simplify right side
    38,501.65x = 1,199,878,467.99
  5. Step 5: Solve for x
    x = 1,199,878,467.99/38,501.65
  6. Step 6: Final answer
    x = 31,164.34

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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.