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Finding the Fourth Proportional to 74,118.54, 102,282.57 and 40,584.54

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Solution

The fourth proportional to 74,118.54, 102,282.57 and 40,584.54 is: 56,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,118.54 : 102,282.57 = 40,584.54 : x
  2. Step 2: Convert to fraction form
    74,118.54/102,282.57 = 40,584.54/x
  3. Step 3: Cross multiply
    74,118.54x = 102,282.57 × 40,584.54
  4. Step 4: Simplify right side
    74,118.54x = 4,151,091,053.47
  5. Step 5: Solve for x
    x = 4,151,091,053.47/74,118.54
  6. Step 6: Final answer
    x = 56,006.11

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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.