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Finding the Fourth Proportional to 38,076.84, 57,115.35 and 10,374.84

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Solution

The fourth proportional to 38,076.84, 57,115.35 and 10,374.84 is: 15,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,076.84 : 57,115.35 = 10,374.84 : x
  2. Step 2: Convert to fraction form
    38,076.84/57,115.35 = 10,374.84/x
  3. Step 3: Cross multiply
    38,076.84x = 57,115.35 × 10,374.84
  4. Step 4: Simplify right side
    38,076.84x = 592,562,617.79
  5. Step 5: Solve for x
    x = 592,562,617.79/38,076.84
  6. Step 6: Final answer
    x = 15,562.28

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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.