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Finding the Fourth Proportional to 74,059, 102,201.42 and 40,525

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Solution

The fourth proportional to 74,059, 102,201.42 and 40,525 is: 55,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,059 : 102,201.42 = 40,525 : x
  2. Step 2: Convert to fraction form
    74,059/102,201.42 = 40,525/x
  3. Step 3: Cross multiply
    74,059x = 102,201.42 × 40,525
  4. Step 4: Simplify right side
    74,059x = 4,141,712,545.50
  5. Step 5: Solve for x
    x = 4,141,712,545.50/74,059
  6. Step 6: Final answer
    x = 55,924.50

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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.