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Finding the Fourth Proportional to 65,994.86, 91,072.14 and 35,780.24

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Solution

The fourth proportional to 65,994.86, 91,072.14 and 35,780.24 is: 49,376.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,994.86 : 91,072.14 = 35,780.24 : x
  2. Step 2: Convert to fraction form
    65,994.86/91,072.14 = 35,780.24/x
  3. Step 3: Cross multiply
    65,994.86x = 91,072.14 × 35,780.24
  4. Step 4: Simplify right side
    65,994.86x = 3,258,583,026.51
  5. Step 5: Solve for x
    x = 3,258,583,026.51/65,994.86
  6. Step 6: Final answer
    x = 49,376.32

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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.