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Finding the Fourth Proportional to 74,212.32, 102,409.20 and 40,671.84

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Solution

The fourth proportional to 74,212.32, 102,409.20 and 40,671.84 is: 56,125.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,212.32 : 102,409.20 = 40,671.84 : x
  2. Step 2: Convert to fraction form
    74,212.32/102,409.20 = 40,671.84/x
  3. Step 3: Cross multiply
    74,212.32x = 102,409.20 × 40,671.84
  4. Step 4: Simplify right side
    74,212.32x = 4,165,170,596.93
  5. Step 5: Solve for x
    x = 4,165,170,596.93/74,212.32
  6. Step 6: Final answer
    x = 56,125.06

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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.