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Finding the Fourth Proportional to 74,665, 103,037.70 and 41,133.16

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Solution

The fourth proportional to 74,665, 103,037.70 and 41,133.16 is: 56,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,665 : 103,037.70 = 41,133.16 : x
  2. Step 2: Convert to fraction form
    74,665/103,037.70 = 41,133.16/x
  3. Step 3: Cross multiply
    74,665x = 103,037.70 × 41,133.16
  4. Step 4: Simplify right side
    74,665x = 4,238,266,200.13
  5. Step 5: Solve for x
    x = 4,238,266,200.13/74,665
  6. Step 6: Final answer
    x = 56,763.76

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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.