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Finding the Fourth Proportional to 38,102.76, 52,607.49 and 23,784.41

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Solution

The fourth proportional to 38,102.76, 52,607.49 and 23,784.41 is: 32,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.76 : 52,607.49 = 23,784.41 : x
  2. Step 2: Convert to fraction form
    38,102.76/52,607.49 = 23,784.41/x
  3. Step 3: Cross multiply
    38,102.76x = 52,607.49 × 23,784.41
  4. Step 4: Simplify right side
    38,102.76x = 1,251,237,848.19
  5. Step 5: Solve for x
    x = 1,251,237,848.19/38,102.76
  6. Step 6: Final answer
    x = 32,838.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.