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Finding the Fourth Proportional to 101,846.12, 152,777.38 and 38,696.50

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Solution

The fourth proportional to 101,846.12, 152,777.38 and 38,696.50 is: 58,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,846.12 : 152,777.38 = 38,696.50 : x
  2. Step 2: Convert to fraction form
    101,846.12/152,777.38 = 38,696.50/x
  3. Step 3: Cross multiply
    101,846.12x = 152,777.38 × 38,696.50
  4. Step 4: Simplify right side
    101,846.12x = 5,911,949,885.17
  5. Step 5: Solve for x
    x = 5,911,949,885.17/101,846.12
  6. Step 6: Final answer
    x = 58,047.87

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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.