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Finding the Fourth Proportional to 74,098.60, 102,255.40 and 40,106.40

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Solution

The fourth proportional to 74,098.60, 102,255.40 and 40,106.40 is: 55,346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,098.60 : 102,255.40 = 40,106.40 : x
  2. Step 2: Convert to fraction form
    74,098.60/102,255.40 = 40,106.40/x
  3. Step 3: Cross multiply
    74,098.60x = 102,255.40 × 40,106.40
  4. Step 4: Simplify right side
    74,098.60x = 4,101,095,974.56
  5. Step 5: Solve for x
    x = 4,101,095,974.56/74,098.60
  6. Step 6: Final answer
    x = 55,346.47

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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.