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Finding the Fourth Proportional to 74,598, 111,870.96 and 27,825.36

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Solution

The fourth proportional to 74,598, 111,870.96 and 27,825.36 is: 41,728.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,598 : 111,870.96 = 27,825.36 : x
  2. Step 2: Convert to fraction form
    74,598/111,870.96 = 27,825.36/x
  3. Step 3: Cross multiply
    74,598x = 111,870.96 × 27,825.36
  4. Step 4: Simplify right side
    74,598x = 3,112,849,735.55
  5. Step 5: Solve for x
    x = 3,112,849,735.55/74,598
  6. Step 6: Final answer
    x = 41,728.33

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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.