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Finding the Fourth Proportional to 77,929.86, 107,541.05 and 43,938.05

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Solution

The fourth proportional to 77,929.86, 107,541.05 and 43,938.05 is: 60,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,929.86 : 107,541.05 = 43,938.05 : x
  2. Step 2: Convert to fraction form
    77,929.86/107,541.05 = 43,938.05/x
  3. Step 3: Cross multiply
    77,929.86x = 107,541.05 × 43,938.05
  4. Step 4: Simplify right side
    77,929.86x = 4,725,143,274.56
  5. Step 5: Solve for x
    x = 4,725,143,274.56/77,929.86
  6. Step 6: Final answer
    x = 60,633.28

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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.