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Finding the Fourth Proportional to 74,517.73, 102,835.16 and 40,526.54

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Solution

The fourth proportional to 74,517.73, 102,835.16 and 40,526.54 is: 55,927.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,517.73 : 102,835.16 = 40,526.54 : x
  2. Step 2: Convert to fraction form
    74,517.73/102,835.16 = 40,526.54/x
  3. Step 3: Cross multiply
    74,517.73x = 102,835.16 × 40,526.54
  4. Step 4: Simplify right side
    74,517.73x = 4,167,553,225.15
  5. Step 5: Solve for x
    x = 4,167,553,225.15/74,517.73
  6. Step 6: Final answer
    x = 55,927.00

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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.