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Finding the Fourth Proportional to 77,031.09, 106,292.31 and 43,035.36

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Solution

The fourth proportional to 77,031.09, 106,292.31 and 43,035.36 is: 59,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,031.09 : 106,292.31 = 43,035.36 : x
  2. Step 2: Convert to fraction form
    77,031.09/106,292.31 = 43,035.36/x
  3. Step 3: Cross multiply
    77,031.09x = 106,292.31 × 43,035.36
  4. Step 4: Simplify right side
    77,031.09x = 4,574,327,826.08
  5. Step 5: Solve for x
    x = 4,574,327,826.08/77,031.09
  6. Step 6: Final answer
    x = 59,382.88

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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.