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Finding the Fourth Proportional to 77,024.70, 106,292.12 and 43,033.44

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Solution

The fourth proportional to 77,024.70, 106,292.12 and 43,033.44 is: 59,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,024.70 : 106,292.12 = 43,033.44 : x
  2. Step 2: Convert to fraction form
    77,024.70/106,292.12 = 43,033.44/x
  3. Step 3: Cross multiply
    77,024.70x = 106,292.12 × 43,033.44
  4. Step 4: Simplify right side
    77,024.70x = 4,574,115,568.49
  5. Step 5: Solve for x
    x = 4,574,115,568.49/77,024.70
  6. Step 6: Final answer
    x = 59,385.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.