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Finding the Fourth Proportional to 77,042.58, 106,317.46 and 43,051.74

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Solution

The fourth proportional to 77,042.58, 106,317.46 and 43,051.74 is: 59,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,042.58 : 106,317.46 = 43,051.74 : x
  2. Step 2: Convert to fraction form
    77,042.58/106,317.46 = 43,051.74/x
  3. Step 3: Cross multiply
    77,042.58x = 106,317.46 × 43,051.74
  4. Step 4: Simplify right side
    77,042.58x = 4,577,151,645.38
  5. Step 5: Solve for x
    x = 4,577,151,645.38/77,042.58
  6. Step 6: Final answer
    x = 59,410.67

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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.