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Finding the Fourth Proportional to 74,204, 102,401.52 and 40,669.28

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Solution

The fourth proportional to 74,204, 102,401.52 and 40,669.28 is: 56,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,204 : 102,401.52 = 40,669.28 : x
  2. Step 2: Convert to fraction form
    74,204/102,401.52 = 40,669.28/x
  3. Step 3: Cross multiply
    74,204x = 102,401.52 × 40,669.28
  4. Step 4: Simplify right side
    74,204x = 4,164,596,089.31
  5. Step 5: Solve for x
    x = 4,164,596,089.31/74,204
  6. Step 6: Final answer
    x = 56,123.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.