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Finding the Fourth Proportional to 38,098.51, 57,153.12 and 15,906.84

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Solution

The fourth proportional to 38,098.51, 57,153.12 and 15,906.84 is: 23,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,098.51 : 57,153.12 = 15,906.84 : x
  2. Step 2: Convert to fraction form
    38,098.51/57,153.12 = 15,906.84/x
  3. Step 3: Cross multiply
    38,098.51x = 57,153.12 × 15,906.84
  4. Step 4: Simplify right side
    38,098.51x = 909,125,261.37
  5. Step 5: Solve for x
    x = 909,125,261.37/38,098.51
  6. Step 6: Final answer
    x = 23,862.49

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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.