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Finding the Fourth Proportional to 38,090.25, 52,564.55 and 23,186.25

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Solution

The fourth proportional to 38,090.25, 52,564.55 and 23,186.25 is: 31,997.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,090.25 : 52,564.55 = 23,186.25 : x
  2. Step 2: Convert to fraction form
    38,090.25/52,564.55 = 23,186.25/x
  3. Step 3: Cross multiply
    38,090.25x = 52,564.55 × 23,186.25
  4. Step 4: Simplify right side
    38,090.25x = 1,218,774,681.51
  5. Step 5: Solve for x
    x = 1,218,774,681.51/38,090.25
  6. Step 6: Final answer
    x = 31,997.03

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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.