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Finding the Fourth Proportional to 101,838.56, 152,737.52 and 34,364

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Solution

The fourth proportional to 101,838.56, 152,737.52 and 34,364 is: 51,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,838.56 : 152,737.52 = 34,364 : x
  2. Step 2: Convert to fraction form
    101,838.56/152,737.52 = 34,364/x
  3. Step 3: Cross multiply
    101,838.56x = 152,737.52 × 34,364
  4. Step 4: Simplify right side
    101,838.56x = 5,248,672,137.28
  5. Step 5: Solve for x
    x = 5,248,672,137.28/101,838.56
  6. Step 6: Final answer
    x = 51,539.14

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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.