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Finding the Fourth Proportional to 77,022.80, 106,290.26 and 43,031.76

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Solution

The fourth proportional to 77,022.80, 106,290.26 and 43,031.76 is: 59,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,022.80 : 106,290.26 = 43,031.76 : x
  2. Step 2: Convert to fraction form
    77,022.80/106,290.26 = 43,031.76/x
  3. Step 3: Cross multiply
    77,022.80x = 106,290.26 × 43,031.76
  4. Step 4: Simplify right side
    77,022.80x = 4,573,856,506.28
  5. Step 5: Solve for x
    x = 4,573,856,506.28/77,022.80
  6. Step 6: Final answer
    x = 59,383.15

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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.