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Finding the Fourth Proportional to 74,117.70, 102,282.30 and 40,126.41

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Solution

The fourth proportional to 74,117.70, 102,282.30 and 40,126.41 is: 55,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,117.70 : 102,282.30 = 40,126.41 : x
  2. Step 2: Convert to fraction form
    74,117.70/102,282.30 = 40,126.41/x
  3. Step 3: Cross multiply
    74,117.70x = 102,282.30 × 40,126.41
  4. Step 4: Simplify right side
    74,117.70x = 4,104,221,505.54
  5. Step 5: Solve for x
    x = 4,104,221,505.54/74,117.70
  6. Step 6: Final answer
    x = 55,374.38

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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.