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Finding the Fourth Proportional to 74,764, 103,174.32 and 41,232.16

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Solution

The fourth proportional to 74,764, 103,174.32 and 41,232.16 is: 56,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,764 : 103,174.32 = 41,232.16 : x
  2. Step 2: Convert to fraction form
    74,764/103,174.32 = 41,232.16/x
  3. Step 3: Cross multiply
    74,764x = 103,174.32 × 41,232.16
  4. Step 4: Simplify right side
    74,764x = 4,254,100,070.13
  5. Step 5: Solve for x
    x = 4,254,100,070.13/74,764
  6. Step 6: Final answer
    x = 56,900.38

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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.