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Finding the Fourth Proportional to 77,120.46, 106,431.65 and 43,132.11

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Solution

The fourth proportional to 77,120.46, 106,431.65 and 43,132.11 is: 59,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,120.46 : 106,431.65 = 43,132.11 : x
  2. Step 2: Convert to fraction form
    77,120.46/106,431.65 = 43,132.11/x
  3. Step 3: Cross multiply
    77,120.46x = 106,431.65 × 43,132.11
  4. Step 4: Simplify right side
    77,120.46x = 4,590,621,210.95
  5. Step 5: Solve for x
    x = 4,590,621,210.95/77,120.46
  6. Step 6: Final answer
    x = 59,525.34

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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.