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Finding the Fourth Proportional to 100,037.53, 138,052.02 and 54,715.78

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Solution

The fourth proportional to 100,037.53, 138,052.02 and 54,715.78 is: 75,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,037.53 : 138,052.02 = 54,715.78 : x
  2. Step 2: Convert to fraction form
    100,037.53/138,052.02 = 54,715.78/x
  3. Step 3: Cross multiply
    100,037.53x = 138,052.02 × 54,715.78
  4. Step 4: Simplify right side
    100,037.53x = 7,553,623,954.88
  5. Step 5: Solve for x
    x = 7,553,623,954.88/100,037.53
  6. Step 6: Final answer
    x = 75,507.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.