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Finding the Fourth Proportional to 101,864.59, 152,797.92 and 30,787.80

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Solution

The fourth proportional to 101,864.59, 152,797.92 and 30,787.80 is: 46,182.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,864.59 : 152,797.92 = 30,787.80 : x
  2. Step 2: Convert to fraction form
    101,864.59/152,797.92 = 30,787.80/x
  3. Step 3: Cross multiply
    101,864.59x = 152,797.92 × 30,787.80
  4. Step 4: Simplify right side
    101,864.59x = 4,704,311,199.52
  5. Step 5: Solve for x
    x = 4,704,311,199.52/101,864.59
  6. Step 6: Final answer
    x = 46,182.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.