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Finding the Fourth Proportional to 74,205.30, 102,403.67 and 40,213.86

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Solution

The fourth proportional to 74,205.30, 102,403.67 and 40,213.86 is: 55,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,205.30 : 102,403.67 = 40,213.86 : x
  2. Step 2: Convert to fraction form
    74,205.30/102,403.67 = 40,213.86/x
  3. Step 3: Cross multiply
    74,205.30x = 102,403.67 × 40,213.86
  4. Step 4: Simplify right side
    74,205.30x = 4,118,046,848.87
  5. Step 5: Solve for x
    x = 4,118,046,848.87/74,205.30
  6. Step 6: Final answer
    x = 55,495.32

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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.