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Finding the Fourth Proportional to 47,199, 65,133.84 and 25,977.84

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Solution

The fourth proportional to 47,199, 65,133.84 and 25,977.84 is: 35,848.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,199 : 65,133.84 = 25,977.84 : x
  2. Step 2: Convert to fraction form
    47,199/65,133.84 = 25,977.84/x
  3. Step 3: Cross multiply
    47,199x = 65,133.84 × 25,977.84
  4. Step 4: Simplify right side
    47,199x = 1,692,036,474.11
  5. Step 5: Solve for x
    x = 1,692,036,474.11/47,199
  6. Step 6: Final answer
    x = 35,848.99

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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.