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Finding the Fourth Proportional to 49,973.94, 74,960.90 and 13,037.94

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Solution

The fourth proportional to 49,973.94, 74,960.90 and 13,037.94 is: 19,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,973.94 : 74,960.90 = 13,037.94 : x
  2. Step 2: Convert to fraction form
    49,973.94/74,960.90 = 13,037.94/x
  3. Step 3: Cross multiply
    49,973.94x = 74,960.90 × 13,037.94
  4. Step 4: Simplify right side
    49,973.94x = 977,335,716.55
  5. Step 5: Solve for x
    x = 977,335,716.55/49,973.94
  6. Step 6: Final answer
    x = 19,556.91

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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.