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Finding the Fourth Proportional to 74,562, 102,895.56 and 41,028

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Solution

The fourth proportional to 74,562, 102,895.56 and 41,028 is: 56,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,562 : 102,895.56 = 41,028 : x
  2. Step 2: Convert to fraction form
    74,562/102,895.56 = 41,028/x
  3. Step 3: Cross multiply
    74,562x = 102,895.56 × 41,028
  4. Step 4: Simplify right side
    74,562x = 4,221,599,035.68
  5. Step 5: Solve for x
    x = 4,221,599,035.68/74,562
  6. Step 6: Final answer
    x = 56,618.64

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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.