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Finding the Fourth Proportional to 38,431.51, 57,649.03 and 11,775.60

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Solution

The fourth proportional to 38,431.51, 57,649.03 and 11,775.60 is: 17,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,431.51 : 57,649.03 = 11,775.60 : x
  2. Step 2: Convert to fraction form
    38,431.51/57,649.03 = 11,775.60/x
  3. Step 3: Cross multiply
    38,431.51x = 57,649.03 × 11,775.60
  4. Step 4: Simplify right side
    38,431.51x = 678,851,888.23
  5. Step 5: Solve for x
    x = 678,851,888.23/38,431.51
  6. Step 6: Final answer
    x = 17,663.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.