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Finding the Fourth Proportional to 136,533.50, 204,834.82 and 38,037.50

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Solution

The fourth proportional to 136,533.50, 204,834.82 and 38,037.50 is: 57,065.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,533.50 : 204,834.82 = 38,037.50 : x
  2. Step 2: Convert to fraction form
    136,533.50/204,834.82 = 38,037.50/x
  3. Step 3: Cross multiply
    136,533.50x = 204,834.82 × 38,037.50
  4. Step 4: Simplify right side
    136,533.50x = 7,791,404,465.75
  5. Step 5: Solve for x
    x = 7,791,404,465.75/136,533.50
  6. Step 6: Final answer
    x = 57,065.88

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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.